Robert with snow, now gone, was first in event (7)
I believe the answer is:
bobsled
'event' is the definition.
(I have seen 'Olympic event' mean 'bobsled' so perhaps 'event' could also mean 'bobsled')
'robert with snow now gone was first' is the wordplay.
'robert' becomes 'bob' (short for Robert).
'with' says to put letters next to each other.
'gone' is a deletion indicator.
'was first' becomes 'led' (to lead is to go first).
'snow' with 'now' taken away is 's'.
'bob'+'s'+'led'='BOBSLED'
'in' is the link.
(Another definition for bobsled that I've seen is " Olympic event".)