Tie (up), as a shoe (4)

I believe the answer is:

lace

(Other definitions for lace that I've seen before include "Flimsy fabric or shoe fasterner" , "Delicate fabric woven in an open web" , "Fine needlework" , "Shoestring: delicate ornamental fabric" , "Spike - ornamental fabric" .)

I've seen this clue in The Washington Post.

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