The most common and most likely answer to this crossword clue is the 6 letter word EXTEND
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More clues leading to the result EXTEND
Buddy explains!

The straight part
We know that "Offer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case offer = extend.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 EXTEND mean?
EXTEND verb- To increase in extent.
- To possess a certain extent; to cover an amount of space.
- To cause to increase in extent.
- To cause to last for a longer period of time.
- To straighten (a limb).
- To bestow; to offer; to impart; to apply.
- To increase in quantity by weakening or adulterating additions.
- To value, as lands taken by a writ of extent in satisfaction of a debt; to assign by writ of extent.
- Of a class: to be an extension or subtype of, or to be based on, a prototype or a more abstract class.
- To reenlist for a further period.