To express great interest in someone or something by looking at them.
Often, but not limited to, when someone suspects you are doing something wrong, illegal, unconstitutional.
When we pulled out infront of a cop today he looked us up and down a few times.
K asked "You got your seatbelt on?"
I said "Yeah man, but he was hawking us."
"Like, checking us out, eyes and everything.. Like a hawk"
"Oh, 'puberty boy'ing' us!"