How to make a dish thicken fast without adding cream or starch?

Everyone likes when the dish is thick and creamy. As an example chickpeas with potatoes and curry spices if cooked can be watery the same day. To make it thick take out some boiled chickpeas, put it in a grinder and add to the mix.

So the simple asnwer use your thickening agent can come from the same dish you're planning to cook.