Midday, end of June, and not a soul (2,3)
I believe the answer is:
no one
'not a soul' is the definition.
(I've seen this before)
'midday end of june' is the wordplay.
'midday' becomes 'noon' ('noon' can be a synonym of 'midday').
'end of' indicates one should take the final letters.
The final letter of 'june' is 'e'.
'noon'+'e'='NO-ONE'
'and' is the link.
(Other definitions for no one that I've seen before include "the street's first house?" , "Not a soul" , "top dog" , "who is perfect?" , "Nobody" .)