TAKE is a hinge word: 2 words make a compound in front of it and 5 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 TAKE.
Each of these makes a compound starting with TAKE.
TAKE is one of the rare hinges that is purely a verb. OVERTAKE and UNDERTAKE are old prefixed verbs; TAKEAWAY, TAKEDOWN, TAKEOFF, TAKEOUT and TAKEOVER are verb-plus-particle phrases hardened into nouns. TAKEOVER and OVERTAKE both exist and mean quite different things.
These words make a compound whichever side of TAKE they sit on, usually with two unrelated meanings.
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.
OVER → TAKE → AWAY — overtake and takeawayUNDER → TAKE → DOWN — undertake and takedownKEYSTONE 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 54.
AWAY · BACK · BALL · BED · BLACK · BOARD · BOOK · BOY · BREAK · CHECK · DAY · DOOR · DOWN · FALL · FATHER · FIRE · GROUND · GUN · HAND · HEAD · HOOD · HOUSE · LAND · LESS · LIFE · LIGHT · LINE · LOAD · MAN · MOTHER · NIGHT · OFF · OUT · OVER · PAY · POINT · POST · POWER · ROOM · RUN · SHIP · SIDE · SOME · STEP · SUN · TIME · TURN · UNDER · WALK · WATER · WAY · WOOD · WORK