Doff (verb)

1. To take off (a hat or other item of clothing) as a sign of respect or politeness.
2. To remove (something) from oneself, especially as a sign of respect or politeness.

Origin:

From the old english word "dofian" meaning "to do off".

Examples:

1. He doffed his hat to the lady as she passed by.
2. The gentleman doffed his top hat in greeting.
3. The workers doffed their hardhats before entering the building.
4. He doffed his jacket in the heat of the room.
5. The children doffed their shoes before entering the house.