Real Dictionary

run through
phrasal verb: If you run through a list of items, you read or mention all the items quickly.
phrasal verb: If you run through a performance or a series of actions, you practise it.

run through in American English
to pierce or stab, as with a sword
to use up, spend, etc. quickly or recklessly

run through in British English
noun: a practice or rehearsal
verb: to transfix with a sword or other weapon

run-through
countable noun: A run-through for a show or event is a practice for it.

run-through in American English
a rehearsal, as of a dramatic or musical work or section, straight through from beginning to end
adjective: made up of cars for a single destination, usually routed so as to avoid congested areas and stopping only for a change of crew
noun: the performing of a sequence of designated actions, esp. as a trial prior to actual performance; rehearsal; practice

run-through in British English
noun: a practice for a show or event