Jump and have sport on the piste, initially (4)
I believe the answer is:
skip
'jump' is the definition.
(skipping is a kind of jumping)
'have sport on the piste initially' is the wordplay.
'have sport on' becomes 'ski' (I can't explain this - if you can you should believe this answer much more).
'initially' suggests taking the first letters.
The initial letter of 'piste' is 'p'.
'ski'+'p'='SKIP'
'and' acts as a link.
Can you help me to learn more?
(Other definitions for skip that I've seen before include "Container used to collect and dump waste" , "Who's in charge of curlers" , "Curling team captain" , "Omit - jump over rope" , "dance" .)