Chisnall was in command in the early stages and went into a three leg lead at 4-1 up and looked good against the former World Champion.
But at the next interval, it was sat at 6-4 with Wright starting to get into the tie and claiming a much needed break of throw.
But it soon looked to revert as Wright had a dart to hold but missed off the back of a 66 checkout at double 20 and Chisnall replied on double four for a 7-4 lead and a break back.
A 73 checkout albeit a 29 darter from Chisnall saw him go 8-4 up and further towards the finishing line with a hold.
A hold of throw kept Wright in it but he needed to break the Chisnall throw. A 174 left 32 for Chisnall though which he pinned to go one away at 9-5.
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A 21 score from Wright was a slip on his throw but he missed double 19 for a 155 checkout. This allowed Chisnall back for a 96 checkout and the victory.
UK Open Darts 2021 schedule
Friday, March 5
Fourth round
Main Stage
Gary Anderson (93.7) 9-10 (101.0) Dirk van Duijvenbode
Michael van Gerwen (99.1) 10-8 (95.0) Scott Mitchell
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