[AT&T, Rogers, Bell, Telus Samsung Galaxy S III] upndwn4par:
This guide will allow you to move the clear notifications button in a TW ROM to the position common in AOSP ROMS.

This mod also removes the notification text, allowing a little more room for notifications.

Decompile SystemUI.apk and navigate to res/layout/tw_status_bar_expanded.xml then delete the line in red.

<LinearLayout android:orientation="vertical" android:id="@id/noNotificationsTitle" android:focusable="true" android:layout_width="fill_parent" android:layout_height="wrap_content">
<TextView android:textSize="@dimen/status_bar_expanded_notification_category_text_size" android:textStyle="bold" android:textColor="@color/notification_category_color" android:gravity="left|center" android:id="@id/noNotificationsText" android:paddingLeft="11.0dip" android:layout_width="fill_parent" android:layout_height="@dimen/status_bar_expanded_notification_category_height" android:text="@string/status_bar_no_notifications_title" />
</LinearLayout>
<LinearLayout android:orientation="vertical" android:id="@id/onGoingCart" android:background="#ff293945" android:focusable="true" android:visibility="gone" android:layout_width="fill_parent" android:layout_height="@dimen/status_bar_expanded_notification_category_height">
<TextView android:textSize="@dimen/status_bar_expanded_notification_category_text_size" android:textStyle="bold" android:textColor="@color/notification_category_color" android:gravity="left|center" android:id="@id/onGoingNotificationText" android:paddingLeft="11.0dip" android:layout_width="wrap_content" android:layout_height="fill_parent" android:text="@string/status_bar_ongoing_events_title" />
</LinearLayout>
<com.android.systemui.statusbar.policy.NotificationRowLayout android:id="@id/onGoingItems" android:layout_width="fill_parent" android:layout_height="wrap_content" systemui:rowHeight="@dimen/tw_notification_row_min_height" />
<LinearLayout android:orientation="vertical" android:id="@id/notificationCart" android:background="#ff293945" android:visibility="gone" android:layout_width="fill_parent" android:layout_height="@dimen/status_bar_expanded_notification_category_height">
<RelativeLayout android:orientation="horizontal" android:layout_width="fill_parent" android:layout_height="wrap_content">
<TextView android:textSize="@dimen/status_bar_expanded_notification_category_text_size" android:textStyle="bold" android:textColor="@color/notification_category_color" android:gravity="left|center" android:id="@id/latestNotificationText" android:paddingLeft="11.0dip" android:layout_width="180.0dip" android:layout_height="fill_parent" android:text="@string/status_bar_latest_events_title" android:layout_alignParentLeft="true" />
[COLOR="Red"]<TextView android:textSize="@dimen/status_bar_expanded_notification_clear_button_text_size" android:textColor="@color/tw_status_bar_clear_btn_text" android:gravity="center" android:id="@id/clear_all_button" android:background="@drawable/tw_btn_default_small" android:padding="0.100000024dip" android:focusable="true" android:clickable="true" android:layout_width="@dimen/status_bar_expanded_clear_button_width" android:layout_height="fill_parent" android:layout_marginRight="4.0dip" android:text="@string/status_bar_clear_all_button" android:layout_alignParentRight="true" android:contentDescription="@string/accessibility_clear_all" />[/COLOR]
</RelativeLayout>
</LinearLayout>
<com.android.systemui.statusbar.policy.NotificationRowLayout android:id="@id/notificationItems" android:layout_width="fill_parent" android:layout_height="wrap_content" systemui:rowHeight="@dimen/tw_notification_row_min_height" />
<com.android.systemui.statusbar.policy.NotificationRowLayout android:id="@id/latestItems" android:layout_width="fill_parent" android:layout_height="wrap_content" systemui:rowHeight="@dimen/tw_notification_row_min_height" />

Navigate to res/layout/tw_status_bar_expanded_header.xml and add the lines in blue.

<?xml version="1.0" encoding="utf-8"?>
<LinearLayout android:gravity="center_vertical" android:orientation="horizontal" android:background="#ff000000" android:layout_width="fill_parent" android:layout_height="39.0dip" android:baselineAligned="false"
xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:systemui="http://schemas.android.com/apk/res/com.android.systemui">
<com.android.systemui.statusbar.policy.ClockStock android:textAppearance="@style/TextAppearance.StatusBar.Expanded.Clock" android:textColor="#ff808080" android:id="@id/clock" [COLOR="Blue"]android:visibility="gone"[/COLOR] android:layout_width="wrap_content" android:layout_height="wrap_content" android:layout_marginLeft="8.0dip" android:singleLine="true" />
<com.android.systemui.statusbar.policy.DateView android:textAppearance="@style/TextAppearance.StatusBar.Expanded.Date" android:textColor="#ff808080" android:ellipsize="none" android:id="@id/date" android:layout_width="wrap_content" android:layout_height="wrap_content" android:layout_marginLeft="8.0dip" android:layout_marginRight="4.0dip" android:maxLines="2" />
<com.android.systemui.statusbar.RotationToggle android:id="@id/rotation_lock_button" android:visibility="gone" android:clickable="true" android:layout_width="32.0dip" android:layout_height="32.0dip" android:layout_margin="8.0dip" android:button="@drawable/ic_notify_rotation" android:contentDescription="@string/accessibility_rotation_lock_off" />
<Space android:layout_width="0.0dip" android:layout_height="0.0dip" android:layout_weight="1.0" />
[COLOR="Blue"]<LinearLayout android:orientation="vertical" android:id="@id/notificationCart" android:background="#ff000000" android:visibility="gone" android:layout_width="72.0dip" android:layout_height="39.0dip">
<RelativeLayout android:orientation="horizontal" android:layout_width="fill_parent" android:layout_height="wrap_content">
<TextView android:textSize="@dimen/status_bar_expanded_notification_clear_button_text_size" android:textColor="#ff808080" android:gravity="center" android:id="@id/clear_all_button" android:background="@drawable/tw_btn_default_small" android:padding="0.100000024dip" android:focusable="true" android:clickable="true" android:layout_width="96.0dip" android:layout_height="fill_parent" android:layout_marginRight="4.0dip" android:text="@string/status_bar_clear_all_button" android:layout_alignParentRight="true" android:contentDescription="@string/accessibility_clear_all" />
</RelativeLayout>
</LinearLayout>[/COLOR]
<ImageView android:layout_width="1.0dip" android:layout_height="25.0dip" android:layout_marginTop="7.0dip" android:layout_marginBottom="7.0dip" android:src="@drawable/tw_quick_panel_plnm_setting_dv" />
<RelativeLayout android:id="@id/settings_button" android:background="@drawable/tw_quick_panel_setting_button_bg" android:focusable="true" android:visibility="visible" android:layout_width="72.0dip" android:layout_height="39.0dip">
<ImageView android:id="@id/settings_button_icon" android:layout_width="wrap_content" android:layout_height="wrap_content" android:src="@drawable/tw_quickpanel_icon_settings" android:scaleType="center" android:layout_centerHorizontal="true" android:layout_centerVertical="true" android:contentDescription="@string/accessibility_settings_button" />
</RelativeLayout>
</LinearLayout>

Options:

Change the button text color (android:textColor="#ff808080") to whatever you want.

Add the line "android:visibility="gone"" to the clock line to remove the clock.

Recompile and push to your device.