retreat, withdraw, retire, resign, repel, expel, reject
退 centers on moving backward or away: retreating, withdrawing, or stepping down. The senses of repelling, expelling, or rejecting extend this idea to pushing something else back.
retirement
retirement; resignation
evacuation; withdrawal; revocation; repeal; retreat
retreat; falling back; moving backwards; reversing; backing up (of a vehicle); retrogression; retraction
extermination; elimination; eradication; destruction; suppression; subjugation; getting rid of; stamping out; wiping out; rooting out
decline; degeneration; decay; waning; ebbing
tedious; boring; dull; uninteresting; tiresome; monotonous
to step aside; to move (out of the way); to make way
dropping out of school; withdrawal from school
withdrawal (e.g. from an organization); secession; leaving; pulling out
leaving (a hall, meeting, stadium, etc.); exit; walkout
leaving hospital; discharge from hospital
resignation; leaving office
declining; refusal; nonacceptance; turning down; withdrawal (e.g. of candidacy); pulling out (e.g. of a race); excusing oneself
departure; leaving; going away; evacuation
to step back; to move back; to retreat
leaving school during a term
being defeated; being eliminated (from competition)
retiring from military service
to put something out of the way; to move (something, someone) aside
to put something out of the way; to move (something, someone) aside
retreat; withdrawal; retirement
taking refuge; evacuation
retirement; resignation; stepping down
退 combines 辶 (movement) with 艮, which likely contributed the sound and the idea of stopping or turning back. The exact historical role of 艮 is uncertain.
The movement radical 辶 wraps around 艮, which looks like a person turning away. Picture someone walking backward, retreating from a situation.
For タイ, imagine a tie being pulled backward as someone retreats: tie -> タイ, and the movement radical shows the retreat.