Top coach is given link to see them compete in Winter Olympics event (4)
I believe the answer is:
curl
'see them compete in winter olympics event' is the definition.
I can't tell whether this defines the answer.
'top coach is given link' is the wordplay.
'top' indicates taking the first letters (in a down clue, the first letter is top).
'is given link' becomes 'url' (I can't justify this - if you can you should give a lot more credence to this answer).
The initial letter of 'coach' is 'c'.
'c'+'url'='CURL'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for curl that I've seen before include "Twist (e.g. of hair)" , "Ringlet of hair" , "Force into a spiral" , "Bend into a spiral" , "Roll up" .)