A bad singer should give up (6)

I believe the answer is:

resign

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'give up' is the definition.
(I know that give up can be written as resign)

'a bad singer' is the wordplay.
'a bad' indicates an anagram.
'singer' is an anagram of 'RESIGN'.

'should' is the link.
This may not be correct. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for resign that I've seen before include "Abdicate" , "withdraw" , "Either leave" , "surrender" , "Give up position" .)

I've seen this clue in the Evening Standard.

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