4 Flush Board, I have the 10 and position and I call down - weak?

[kt421]

No reads, just sat down. NL50 at Pokerroom. I have $50 and villian (BB) has $42. SB has us covered.

I'm dealt J10o on the button. 10 is a club.

Folded to me and I limp. SB completes, BB checks.

Flop comes 8 7 3 all clubs. Checked to me and I bet $1.00 (2/3 pot). SB folds, BB minraises to $2 and I call.

Turn is the 4c, giving me the 10 high flush. BB bets pot ($5) and I call.

River is the 6d, BB bets $5 and I call.

Is this weak? I thought about a river raise but figured only better flushes call.