The most common and most likely answer to this crossword clue is the 6 letter word VOTING
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Buddy explains!

The straight part
We know that "polling process" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case polling process = voting.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 VOTING mean?
VOTING verb- To cast a vote; to assert a formalized choice in an election
- To choose or grant by means of a vote, or by general consent
- Action of the verb to vote
- Having an associated right for the holder to vote as an owner of business.