1A1AA bit of leg shown by skirt's hem (raised) (5)
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last letter from "skirt" = T + raised = HIGH. 4A4ADirty Den's downfall? (3)
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anag. DEN. 6A6AOne entering into diplomatic relations is silent (5)
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insertion of one = I into diplomatic relations = TACT. 7A7AHairpiece showing strength and determination? Not half! (3)
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delete half of: showing strength and determination = RUGGED. 8A8ALip pulled back with the beginnings of laughter? (5)
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reversal of lip = RIM + first two letters of "the".
1D1DFinger tuber, coming up with symbolic object (5)
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finger (e.g. of whisky, etc) = TOT, + reversal of tuber = ME. 2D2DRun up, like a dog's dinner? (5)
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a dog's dinner may very well end up IN CUR. 3D.
double def. 4D4DShell-like openings to explore and rediscover (3)
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first letters from "explore and rediscover". 5D5D...Not a whole finger, you understand? (3)
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partial, from finger = DIGIT.