In your example,
[...] when the man you've scripted's hands are lifted to the sky...
"the man you've scripted's hands" is the NP subject of the predicate "are lifted to the sky". That NP has a definite determiner, comparable to "the", which is "the man you've scripted's". This determiner consists of a NP with "'s" attached, and that NP is "the man you've scripted".
The structure of this NP is determiner ("the") plus noun ("man") plus noun modifier ("you've scripted") [but see note]. The noun modifier is a reduced relative clause, "you've scripted", reduced from "which you've scripted". The relative clause is from a sentence "you've scripted which" by preposing the "which" relative pronoun.
Notes: McCawley (my standard reference is his The Syntactic Phenomena of English) counts the noun and modifying relative clause together as a N-bar constituent.
The "which" of the relative clause isn't necessarily preposed before being deleted.