Cunningly hide a Saint getting out of strip (9)

I believe the answer is:

dissemble

'cunningly hide' is the definition.

I don't understand the remainder of the clue.

(Other definitions for dissemble that I've seen before include "Conceal one's true feelings" , "Conceal or disguise feelings or motives" , "Hide true motives" , "Hide one's true feelings" , "Disguise one's true feelings" .)

I've seen this clue in The Times.

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