twist, ask, investigate, verify
糾 centers on the idea of twisting or entangling, which extends naturally to the abstract sense of investigating or verifying by untangling facts or questioning closely.
糾 combines 糸 (thread) with 丩, which likely contributes the sound and the idea of twisting or entangling. The original sense is threads twisted together, from which the abstract meanings of investigating or verifying developed.
Thread 糸 twisted around a hook-like shape 丩: imagine tangled threads that need to be carefully untwisted and examined to verify what's caught inside.
For キュウ, picture a detective carefully untwisting a tangled clue and exclaiming 'Q!' as in 'cue'—the sound 'Q' (キュー) matches キュウ, and the investigation reveals the truth.
censure; denunciation; (verbal) attack; blaming
complication; confusion; disorder; chaos; dispute; conflict; trouble; quarrel
fortune and misfortune are intertwined; fortune and misfortune come by turns; good luck and bad luck alternate (like the strands of a rope); good and bad fortune are next-door neighbours
to twist strands (e.g. into rope); to twist rope
rally; muster
inquiry; enquiry
searching examination; establishing the facts through thorough examination
closely examining (questioning) the concrete circumstances of a crime