The most common and most likely answer to this crossword clue is the 9 letter word SACRIFICE
I've seen this crossword clue in The Guardian
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Buddy explains!

The straight part
We know that "Offer up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case offer up = sacrifice.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 SACRIFICE mean?
SACRIFICE noun- The offering of anything to a god; a consecratory rite.
- The destruction or surrender of anything for the sake of something else; the devotion of something desirable to something higher, or to a calling deemed more pressing.
- Something sacrificed.
- A loss of profit.
- A sale at a price less than the cost or the actual value.
- To offer (something) as a gift to a deity.
- To give away (something valuable) to get at least a possibility of gaining something else of value (such as self-respect, trust, love, freedom, prosperity), or to avoid an even greater loss.
- To trade (a value of higher worth) for something of lesser worth in order to gain something else valued more, such as an ally or business relationship, or to avoid an even greater loss; to sell without profit to gain something other than money.
- To intentionally give up (a piece) in order to improve one’s position on the board.
- To advance (a runner on base) by batting the ball so it can be caught or fielded, placing the batter out, but with insufficient time to put the runner out.
- To sell at a price less than the cost or actual value.
- To destroy; to kill.