The 2 word answer to 24,10 has the first word in 24d and the second in 10a.
25,23 is parsed - 3 letter word for 'awful stink' + 'an' + 5 letter word for 'ecclesiastic' around the behind of 'intern' + 4 letter word for 'party'.
1d the definition is 'conservative' as in someone stuck in their ways. I think the parsing is given by Gweilo in post 12.
2d is a single word spread over 2 clues and is the name of a specific 'engagement' as in the military sense. It's parsed by saying (in two words) where one might be cooking 6,3.
It's a shame Upstart Crow isn't going on tour, it really is very funny:-)