Come in to register (5)

I believe the answer is:

enter

I believe this clue is a double definition.

'come in' is the first definition.
(synonyms)

'register' is the second definition.
(I know that register is a more specific form of enter)

'to' acts as a link.

(Other definitions for enter that I've seen before include "Register (as a competitor)" , "Go in - set down" , "Go/come in" , "Record (in a log)" , "Enlist, join up" .)

I've seen this clue in The Telegraph, The Guardian, The Times and The Globe and Mail.

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