Interesting river card from O11

[PokerJans]

8-16 main game - usual cast of characters

I limp 77 UTG, MP1 limps, HJ limps, SB and BB come along

643 with two clubs

Check, check I bet, MP1 calls and BB calls

Turn is an offsuit Queen

Check, I bet, fold and the BB calls again

River is the 7 of clubs for a final board of

643Q7 with 3 clubs

BB checks

BB is a very tight and passive regular who plays 8-16 everyday. He is very straight forward and thinks I am totally FOS because I am very aggressive and maniacal from LP.

Do I bet? If so why?