Promote smoked ham, perhaps, or game (10)
I believe the answer is:
backgammon
'game' is the definition.
(backgammon is a kind of game)
'promote smoked ham perhaps' is the wordplay.
'promote' becomes 'back' (back can mean to support or endorse).
'smoked ham perhaps' becomes 'gammon' (gammon is smoked or cured ham).
'back'+'gammon'='BACKGAMMON'
'or' is the link.
(Other definitions for backgammon that I've seen before include "Dice and counter game" , "Players' race to clear tables" , "Board game played with dice" , "sedentary activity" , "Game with 24 points" .)