The idea is to chain compound words. Hyphenated words and two-word phrases are okay, and, if we have to push it, we can treat a non-compound as if it were compound if the end of it can be used as a word. I can't find a way to do that with "century." I'll have to use the whole word. We should try to use words that make it possible to continue the game.
anthill
hillside
sidestep
stepfather
fatherless
lesseeship
shipment
menthol
thole pin
wheelhouse
guestroom
roommate
Mate, or even ate, are very difficult for compounding. All I can come up with is:
boardwalk
Walkway
wayward
Wardrobe
Wardrobe
township
shipshape
Shapeshift
shiftwork
workshop
