The most common and most likely answer to this crossword clue is the 8 letter word HUCKSTER
I've seen this crossword clue in Independent
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Buddy explains!

The straight part
We know that "pushy salesman" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pushy salesman = huckster.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 HUCKSTER mean?
HUCKSTER noun- A peddler or hawker, who sells small items, either door-to-door, from a stall or in the street.
- Somebody who sells things in an aggressive or showy manner.
- One who deceptively sells fraudulent products.
- Somebody who writes advertisements for radio or television.
- A mean, deceptive person.
- To haggle, to wrangle, or to bargain.
- To sell or offer goods from place to place, to peddle.
- To promote or sell goods in an aggressive, showy manner.