Wearmouth has made 21 appearances so far this season, scoring four goals.
He has joined Marske United.
"We are pleased to announce the signing of forward Arran Wearmouth (subject to league approval)," the club announced.
"He brings with him a wealth of experience having played at Middlesbrough before making appearances for Darlington, Blyth Spartans, Bishop Auckland, West Auckland and Whitby."
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