The most common and most likely answer to this crossword clue is the 9 letter word SUBSCRIBE
I've seen this crossword clue in Financial Times
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More clues leading to the result SUBSCRIBE
Buddy explains!

The straight part
We know that "Pay regular fee/ " is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pay regular fee/ = subscribe.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 SUBSCRIBE mean?
SUBSCRIBE verb- To sign up to have copies of a publication, such as a newspaper or a magazine, delivered for a period of time.
- To pay for the provision of a service, such as Internet access or a cell phone plan.
- To believe or agree with a theory or an idea (used with to).
- To pay money to be a member of an organization.
- To contribute or promise to contribute money to a common fund.
- To promise to give, by writing one's name with the amount.
- To agree to buy shares in a company.
- To sign; to mark with one's signature as a token of consent or attestation.
- To write (one’s name) at the bottom of a document; to sign (one's name).
- To sign away; to yield; to surrender.
- To yield; to admit to being inferior or in the wrong.
- To declare over one's signature; to publish.
- To indicate interest in the communications made by a person or organization.