to take off one's hat: to raise or remove one's hat as a greeting or sign of respect. Later also figurative: to show admiration, respect, or…

transitive. To take off or lift (a hat or cap), as a gesture of polite acknowledgement. Obsolete.

(un-, prefix2 affix 1b affix 1.)

intransitive. Apparently: to remove or raise one's bonnet or cap as a sign of respect. Obsolete.

intransitive. To take off or doff the cap, in reverence or respect to (a person).

absol.

absol. To raise one's hat (to a person). rare.

to touch one's hat: to raise the hand to the hat and touch it as a way of greeting or politely acknowledging a person. Similarly to touch one's cap…

esp. To do this as a mark of respect; to uncover. Also reflexive.