The most common and most likely answer to this crossword clue is the 4 letter word DRUM
I've seen this crossword clue in The Daily Telegraph
D
R
U
M
More clues leading to the result DRUM
- Daughter’s head: strange place to do tattoo
- Beginning to describe strange percussion instrument
- Origin of tattoo? Daughter having booze
- Daughter with strange container
- Old racehorse not about to be beat
- Landlord finally gets drink container
- Departs with strange revolving cylinder
- Primarily despondent spirit for one getting beaten
- Half-murdered in return for pound
- Shape of protractor seen on weird house
Buddy explains!

The straight part
We know that "beat that" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case beat that = drum.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 DRUM mean?
DRUM noun- A percussive musical instrument spanned with a thin covering on at least one end for striking, forming an acoustic chamber, affecting what materials are used to make it; a membranophone.
- Any similar hollow, cylindrical object.
- A barrel or large cylindrical container for liquid transport and storage.
- The encircling wall that supports a dome or cupola.
- Any of the cylindrical blocks that make up the shaft of a pillar.
- A drumfish (family Sciaenidae).
- A tip; a piece of information.
- A small hill or ridge of hills.
- A social gathering or assembly held in the evening.
- A person's home; a house or other building, especially when insalubrious; a tavern, a brothel.