BB got his stack from raising K8 on the BU, hitting an 8(tp) and getting called by a shorty w/ 66 and was generally being fairly agg with his raises.

should I be 3betting the flop bet?

PokerStars No-Limit Hold'em, $0.10 BB (5 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|saw showdown

Hero ($10)
Button ($10.45)
SB ($14.70)
BB ($17)
UTG ($10.40)

Preflop: Hero is MP with 8, A.
1 fold, Hero raises to $0.4, 1 fold, SB calls $0.35, BB calls $0.30.

Flop: ($1.20) 7, 8, 5 (3 players)
SB checks, BB bets $0.8, Hero calls $0.80, SB folds.

Turn: ($2.80) 3 (2 players)
BB bets $2.4, Hero???