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Hi Mittens- This problem has been reported a few times in King Care and King have replied to say that they are working towards a solution. I think there will be another update shortly that should fix this issue so keep checking the play store.
A moderator commented here- https://care.king.com/en/candy-crush-saga/screen-flickering-badly-since-last-update#entry_20808
I know that these things can take a little time to find the error but I am sure it won't be much longer now.