Unwording

Me and my brother started the other day something we call unwording

The idea is that first one picks a word with two parts and the next pics another two parts word starting or ending with the previous word part.

Example
pussycat + cat fish -> pussycatfish + fish soup -> pussycatfishsoup

and to continue the word as long as possible.

pussycatfishsoup + soup-sandwich -> pussycatfishsoupsandwich

pussycatfishsoupsandwich + sandwichcake -> pussycatfishsoupsandwichcake

pussycatfishsoupsandwichcake + cakewalk -> pussycatfishsoupsandwichcakewalk

pussycatfishsoupsandwichcakewalk + ing stick -> pussycatfishsoupsandwichcakewalkingstick

pussycatfishsoupsandwichcakewalkingstick + stickball -> pussycatfishsoupsandwichcakewalkingstickball

pussycatfishsoupsandwichcakewalkingstickball + ball bearing -> pussycatfishsoupsandwichcakewalkingstickballbearing

pussycatfishsoupsandwichcakewalkingstickballbearing + bearing Cloth -> pussycatfishsoupsandwichcakewalkingstickballbearingcloth