My first should be my second, but I would not be my whole.

Answer: Beardless (Beard-Less).

My first monopolises Dublin's busy highways; my second is Love's favourite epithet; my whole in drawing-rooms is always found.

Answer: Carpet (Car-Pet).

Britannia rules my first by means of my second, in spite of every caprice of my whole.

Answer: Seasons (Sea-Sons).

My first I hope you are, my second I see you are, and my whole I know you are.

Answer: Welcome (Well-Come).

My whole is under my second, and surrounds my first.

Answer: Waistcoat (Waist-Coat).