Re 7d, I was also struggling with that, as I couldn't see any relation to what I thought the answer must be (china) with the definition. If it's cockney rhyming slang (china plate-mate) then shouldn't there have been some indication in the clue about that? Getting from 'intimate' to china is quite a stretch!
I also can't parse 24a, assuming I have the right answer:
Relentless striving produces nation of arses (3,4)
I have all the crossers (r-t-a-e) so think it must be rat race, which fits with the definition, but I can't see how it works.