The most common and most likely answer to this crossword clue is the 8 letter word DUMPSTER
I've seen this crossword clue in The Guardian
D
U
M
P
S
T
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R
Buddy explains!

The straight part
We know that "Skip American" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case skip american = dumpster.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does DUMPSTER mean?
DUMPSTER noun- (Canada, US) A large, usually metal trash receptacle designed to be hoisted up by a garbage truck in order to be emptied.