Run a social engagement around one in shed (7)
I believe the answer is:
radiate
'shed' is the definition.
(shed energy, light etc.)
'run a social engagement around one' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'social engagement' becomes 'date' (I've seen this in another clue).
'around' is an insertion indicator.
'one' becomes 'i' (Roman numeral).
'date' enclosing 'i' is 'diate'.
'r'+'a'+'diate'='RADIATE'
'in' is the link.
(Other definitions for radiate that I've seen before include "Give out (light, etc)" , "A tirade (anag)" , "Beam brightly, spread heat" , "broadcast" , "Spread outwards" .)