Definition of non-speaks in US English:
non-speaks
noun
British
informal
A situation in which people are not on speaking terms because of pique; the fact of not being on speaking terms.
adverb
British
informal
Not on speaking terms, in a hostile relationship.
Origin
1950s. From non- + the plural of speak.
Pronunciation
non-speaks
/nɒnˈspiːks/