Clare are still in the hunt for promotion from Division Three of the National Football League.
A goal five minutes from time by Corofin's Jamie Malone sealed a 1-18 to 0-10 win over Westmeath, the Banners third victory of the campaign.
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It leaves Colm Collins side second on the league standings, ahead of Tipperary on scoring difference.
Collins says while the win was a good one, they need to continue to improve with a trip to face Offaly to come next weekend.
Elsewhere in Division Three, Kildare battled past Limerick 1-11 to 1-10, two early goals proved crucial as Tipperary overcame Offaly by 2-11 to 0-12, while Longford beat Sligo 1-17 to 2-9.
It means Kildare stay top of the standings, with Clare in second, ahead of Tipperary.
