Spot-on Rimmer clinches win
The strong breeze at the Polegrove ruined any chance of a football spectacle but United claimed the points thanks to a gift of a penalty in the 12th minute.
The Upper Beeding keeper was penalised for a needless off the ball kick at Dan Antink, allowing Sam Rimmer to dispatch the resulting spot kick.
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Hide AdUnited were never in any real danger of relinquishing the lead and manager Len Watkins was satisfied at the outcome. He said: "It was comfortable really. It was not a classic but the three points are great."
Bexhill are without a game on Saturday March 22.