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