Well done Ginge and thanks to anyone who looked. Here is a brief parsing of the clues.
1) Dramatically produces case for violin (5)
AMATI is hidden in the clue
2) One may represent Peter, having an appointment with the Parisian golf club (7/5)
A POST theparisian LE SPOON golf club
3) Tailless mice keep one small cavity for food (10)
VERM one I small cavity CELL I(N)
4) Ham and eggs sustain royal court (7)
OV (ER) A court CT
Cheers.