It's lace made for use in many undergarments (7)

I believe the answer is:

elastic

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'use in many undergarments' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'it's lace made' is the wordplay.
'made' indicates an anagram.
'its'+'lace'='itslace'
'itslace' with letters rearranged gives 'ELASTIC'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for elastic that I've seen before include "Scale it (anag.)" , "Resilient" , "Able to stretch" , "Ductile" , "Flexible, adaptable" .)

I've seen this clue in The Globe and Mail.

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