The most common and most likely answer to this crossword clue is the 5 letter word RAMPS
I've seen this crossword clue in The Daily Telegraph
R
A
M
P
S
Buddy explains!

The straight part
We know that "gets higher" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case gets higher = ramps.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 RAMPS mean?
RAMPS noun- An inclined surface that connects two levels; an incline.
- A road that connects a freeway to a surface street or another freeway.
- A mobile staircase that is attached to the doors of an aircraft at an airport
- A large parking area in an airport for aircraft, for loading and unloading or for storage (see also apron)
- A construction used to do skating tricks, usually in the form of part of a pipe.
- A speed bump.
- A leap or bound.
- A concave bend at the top or cap of a railing, wall, or coping; a romp.
- To behave violently; to rage.
- To spring; to leap; to bound, rear, or prance; to move swiftly or violently.
- To climb, like a plant; to creep up.
- To stand in a rampant position.
- To (cause to) change value, often at a steady rate.
- To adapt a piece of iron to the woodwork of a gate.
- An American plant, Allium tricoccum, related to the onion; a wild leek.
- A promiscuous man or woman; a general insult for a worthless person.