She may be hanging on to the line (3)

I believe the answer is:

peg

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'she' is the definition.

I can't explain the remainder of the clue.

(Other definitions for peg that I've seen before include "Clothes line fastener" , "Wire tensioner" , "Clip for hanging washing" , "The girl to hang your hat on" , "Fix (a price)" .)

I've seen this clue in the Evening Standard.

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