Clue: Digitally connect with Bill in America and show contempt? (5,4,4)
Answer: THUMB ONES NOSE
Explanation: Definition: show contempt
=a signal of disrespect or contempt
 I think "Digitally connect with Bill" could indicate **THUMB** (as in a 'digit' to be connected to) **ONE'S NOSE** (as "Bill"='nose')
 does "in America" indicate that "Bill"='nose' is US slang?