Acting curiously while performing the song in (6)

I believe the answer is:

nosing

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

'acting curiously while' is the definition.
I can't tell whether this definition defines the answer.

'performing the song in' is the wordplay.
'performing' is an anagram indicator.
'song'+'in'='songin'
'songin' with letters rearranged gives 'NOSING'.

Can you help me to learn more?

(Other definitions for nosing that I've seen before include "Moving slowly" , "snooping" , "Moulding edge; prying" , "like bloodhound on trail" , "going, gradually" .)

I've seen this clue in the Evening Standard.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.