A private message? It’s welcome (5)

I believe the answer is:

admit

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'welcome' is the definition.
(I've seen this in another clue)

'a private message? it's' is the wordplay.
'private message?' becomes 'dm' (I am not sure about this - if you are sure you should believe this answer much more).
'a'+'dm'+'it'='ADMIT'

Can you help me to learn more?

(Other definitions for admit that I've seen before include "permit to come in" , "Confess - let in" , "Let in - concede" , "Confess and permit entrance" , "Confess (to something)" .)

I've seen this clue in The Sunday Times.

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