The most common and most likely answer to this crossword clue is the 6 letter word SCORCH
I've seen this crossword clue in Financial Times
S
C
O
R
C
H
More clues leading to the result SCORCH
- Wow in school: that's what singers do!
- What singers do from my school cloisters
- Burn disc, or char a little
- Burn most of music at church
- Put paid to time out, assuming river will dry up
- Burn most of the grain found in school
- Almost 20 — central heating’s become too hot
- Upset hot reptiles dry up
- Travel at speed and overheat
- Burn mark made by my central heating on front of sofa
Buddy explains!

The straight part
We know that "dry up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dry up = scorch.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 SCORCH mean?
SCORCH noun- A slight or surface burn.
- A discolouration caused by heat.
- Brown discoloration on the leaves of plants caused by heat, lack of water or by fungi.
- To burn the surface of something so as to discolour it
- To wither, parch or destroy something by heat or fire, especially to make land or buildings unusable to an enemy
- (To cause) to become scorched or singed
- To move at high speed (so as to leave scorch marks on the ground, physically or figuratively).
- To burn; to destroy by, or as by, fire.
- To attack with bitter sarcasm or virulence.
- To ride a bicycle furiously on a public highway.