for short / short for

(From Longman Corpus)

for short

* Hi, my name's Moses --- Mo for short.

be short for something

* Her name is Alex, short for Alexandra.

* He was short for his age and had little, sharp, ugly eyes.

* For now the nomads are surviving, but time most be short for them.
(?!)

* It is short for a par 5 but you soon realise why. (golf?)

* * *

(Oxford Advanced Learner's Dic)

short (adjective)
name/word
10. being a shorter form of a name or word
* short for something
Call me Jo—it's short for Joanna.
* for short
file transfer protocol or FTP for short