Lingerie strapped for support (3)

I believe the answer is:

bra

I'm a little stuck... Click here to teach me more about this clue!

'lingerie' is the definition.
(I know that bra is a type of lingerie)

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

Can you help me to learn more?

(Other definitions for bra that I've seen before include "support" , "I give a couple a lift" , "Chest supporter" , "Underwear item" , "one carrying chest" .)

I've seen this clue in the Evening Standard.

Want a hint initially instead of a full solution? Install my app