Heard as a mispronounciation of skirmish. Possible definitions:
1) A minor battle fought between small gangs of worms.
2) Relating to or feeling/exhibiting signs of humiliation or embarrassment. As in "A squirmish feeling washed over James the moment the reporter asked him about the incriminating video from the hidden cameras."
Heard on NPR by an interviewee, this metaplastic contraction appears to be a severe shortening of "it has been my pleasure" and is used as an alternate response to "You're welcome" when presented with the phrase "Thank you".