Got up? I’m obliged to do that, weary (7)

I believe the answer is:

attired

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'got up? i'm obliged to do that weary' is the definition.
'attired' can be an answer for 'got up?' (I've seen this before). I am unsure of the rest of the definition.

'that weary' is the wordplay.
'that' becomes 'at' (I am not sure about this - if you are sure you should believe this answer much more).
'weary' becomes 'tired' (similar in meaning).
'at'+'tired'='ATTIRED'

Can you help me to learn more?

(Other definitions for attired that I've seen before include "got up" , "Turned out" , "Dressed or clothed" , "surrounded by duds" , "Wearing clothes" .)

I've seen this clue in The Times.

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