Show swimming group project (7)
I believe the answer is:
podcast
'show swimming' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'group project' is the wordplay.
'group' becomes 'pod' (I can't justify this - if you can you should give a lot more credence to this answer).
'project' becomes 'cast' (synonyms).
'pod'+'cast'='PODCAST'
Can you help me to learn more?
(Other definitions for podcast that I've seen before include "Distribute file(s) via internet to personal computers for playback" , "Downloadable programme" , "Web feed" , "internet feature" , "Audio file distributed over the internet" .)