A novel inbred maize line designated PHCCW and seed, plants and plant parts thereof. Methods for producing a maize plant that comprise crossing inbred maize line PHCCW with another maize plant. Methods for producing a maize plant containing in its genetic material one or more traits introgressed into PHCCW through backcross conversion and/or transformation, and to the maize seed, plant and plant part produced thereby. Hybrid maize seed, plant or plant part produced by crossing the inbred line PHCCW or a trait conversion of PHCCW with another maize line. Inbred maize lines derived from inbred maize line PHCCW, methods for producing other inbred maize lines derived from inbred maize line PHCCW and the inbred maize lines and their parts derived by the use of those methods.