DAY is a hinge word: 6 words make a compound in front of it and 6 make one after it, so it can sit in the middle of a chain and hold two compounds together at once.
Each of these makes a compound ending in DAY.
Each of these makes a compound starting with DAY.
DAY is a unit of time and a name for daylight, and both senses hinge. BIRTHDAY and PAYDAY pick out a particular day; DAYLIGHT and DAYBREAK are about the light itself.
Put any word from the first list in front and any word from the second behind, and you have a three-word chain in which both neighbouring pairs join. Here are some of them.
BIRTH → DAY → BED — birthday and daybedEVERY → DAY → BREAK — everyday and daybreakPAY → DAY → DREAM — payday and daydreamSOME → DAY → DREAMING — someday and daydreamingSUN → DAY → LIGHT — sunday and daylightWORK → DAY → TIME — workday and daytimeKEYSTONE is a free daily puzzle built entirely out of chains like these. You get the two ends and have to fill the two words in the middle. Three bridges a day, no account, no cookies.
Each of these has a page like this one. There is also an index of all 60.
AWAY · BACK · BALL · BED · BLACK · BOARD · BOAT · BOOK · BOY · BREAK · CHECK · CROSS · DOOR · DOWN · FALL · FATHER · FIRE · FOOT · GROUND · GUARD · GUN · HAND · HEAD · HOOD · HOUSE · LAND · LESS · LIFE · LIGHT · LINE · LOAD · MAN · MOTHER · NIGHT · OFF · OUT · OVER · PAY · POINT · POST · POWER · ROOM · RUN · SET · SHIP · SIDE · SOME · STEP · SUN · TAKE · TIME · TURN · UNDER · WALK · WARD · WATER · WAY · WOOD · WORK