The most common and most likely answer to this crossword clue is the 8 plus 1 letter word PREMIUM} –
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Buddy explains!
The straight part
We know that "Additional cost" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case additional cost = premium} –.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 PREMIUM} – mean?
PREMIUM} – noun- A prize or award.
- Something offered at a reduced price as an inducement to buy something else.
- A bonus paid in addition to normal payments.
- The amount to be paid for an insurance policy.
- An unusually high value.
- The amount by which a security's value exceeds its face value.
- Superior in quality; higher in price or value.
- High-end; belonging to the market segment between mid-market and luxury.