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Feeney, 19, has scored two goals in 25 appearances for Lancaster, and has made the move to gain more game time.
"Please help in welcoming Kieran Feeney who signs from Lancaster City," Clitheroe announced via social media.
"Kieran is a striker who has been with Wolves, Barnsley and Atherton.
"He is looking forward to playing at Shawbridge Saturday."
Blues boss Phil Brown added: “We’ve been watching him and he’s looked good.
“He also looked good in training and hopefully he goes on and does well for us.”
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