I apologize for the triviality of this question, but as I have not learned yet how to separate the parts of writing, I feel the need to evaluate how correct my deduction is.

To the point...

"Not a movement wasted."

Am I correct in deducing that "wasted" functions as the verb of this sentence, and that movement functions as the subject, the noun, of the sentence?

Gratitude for any reply. Thank you.

I may have more trivial questions in the future... My learning of the English language was unothodox, to say the least.
It is not a sentence; it is a non-finite clause. It is reduced from 'not a movement [is/was/has been] wasted'. So yes, 'wasted' is the nonfinite verb and 'movement' is its subject.
This I did not know. Thank you.