Solvers! I hope you enjoyed my puzzle, please let me know. If you felt there was room for improvement, don't be afraid to say so; it's the only way I'll get any better.
The usual wash-up for the perplexed and mystified:
ACROSS
1A. last letter from "skirt" = T + raised = HIGH.4A. anag. DEN.6A. insertion of one = I into diplomatic relations = TACT.7A. delete half of: showing strength and determination = RUGGED.8A. reversal of lip = RIM + first two letters of "the".
DOWN
1D. finger (e.g. of whisky, etc) = TOT, + reversal of tuber = ME.2D. a dog's dinner may very well end up IN CUR.3D. double def.4D. first letters from "explore and rediscover".5D. partial, from finger = DIGIT.