Tramps may find places to live (4)

I believe the answer is:

pads

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'tramps' is the definition.
The definition and answer can be both to do with motion as well as being verbs in their -s form.
Maybe there's an association between them I don't understand?

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for pads that I've seen before include "Lines or stuffs with soft material" , "Walks softly" , "Protective guards worn by sportspeople" , "flats?" , "tablets" .)

I've seen this clue in The Telegraph.

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