Visit Home Counties around end of June (3)
I believe the answer is:
see
'visit' is the definition.
(seeing is a kind of visiting)
'home counties around end of june' is the wordplay.
'home counties' becomes 'se'.
'around end of' indicates one should take the final letters.
The last letter of 'june' is 'e'.
'se'+'e'='SEE'
(Other definitions for see that I've seen before include "Chelmsford" , "Look at the bishop's domain" , "Three points" , "Meet (someone) socially" , "Observe - diocese" .)