The most common and most likely answer to this crossword clue is the 11 letter word JERRY-BUILD
I've seen this crossword clue in The Guardian
J
E
R
R
Y
-
B
U
I
L
D
Buddy explains!
The straight part
We know that "put up cheaply" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case put up cheaply = jerry-build.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.