Moved cautiously after papa gets taken (6)

I believe the answer is:

inched

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'moved' is the definition.
The answer and definition can be both to do with motion as well as being past participle verbs.
Perhaps you can see a link between them that I can't see?

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for inched that I've seen before include "Moved by slow degrees" , "Moved in small increments" , "Moved gradually" , "Moved along very slowly" .)

I've seen this clue in The Irish Times.

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