@FBM,
One aspect of Derrida I found significant was his reference to
aporia which simplistically is about
inevitable logical clashes. This reflects a holistic view of "existence" because the meaning of any assertions of what "is" necessarily is predicated on contrast with "what is not". This fits well with non-representationalist views of language and rejection of the correspodence theory of truth, both of which underpin views about the linguistic construction of "reality".
A second related aspect which appeals is Derrida's appreciation of the
dynamism of "context" (similar to Heidegger's view that "existence" is essentially temporal). This fits well at the macro-level with Kuhn's paradigms, and and at micro-levels contrasts with
static traditional logic which relies on
fixed set membership from which "the law of the excluded middle" is derived (usurped by aspects of quantum mechanics) Here may reside another basis for
aporia.
Obviously some of Derrida's views were hijacked by some people with a political agenda who gave it a bad reputation, but like Heidegger's Nazism we need to separate the wheat from the chaff.