Take a chance on a girl? (3)
I believe the answer is:
bet
I believe this clue is a double definition.
'take a chance' is the first definition.
(thesaurus)
'girl?' is the second definition.
'on a' is the link.
(Other definitions for bet that I've seen before include "Wager, or the sum waged" , "Wager, speculate" , "'Stake, wager (3)'" , "Wager, back" , "Speculation" .)