Extending @QuantumTwinkie's answer, and using the connect-wall tag, notice that there is a connection between each group of four words. (Note: I never would have gotten this without QuantumTwinkie's answer, so this is a true tag team effort.)
DUO, IRON, LINKS, ROCK
Makes Pokemon when a note (do, re, mi, fa, sol, la, ti) is added
DODUO, LAIRON, FALINKS, SOLROCK
ICE, LED, METAL, TIC
Makes Pokemon when a traditionally male name is added
REGICE, LEDIAN, MELMETAL, MILOTIC
DRILL, PI, WIN, WOO
Makes Pokemon when flying animal is added
BEEDRILL, PIDOVE, WINGULL, WOOBAT
BRA, IGNITE, LOOM, RUBBISH
Makes Pokemon when a single letter is added at the beginning of the word
ABRA, PIGNITE, GLOOM, TRUBBISH
AIR, DUST, GO, PAT
Makes Pokemon when an animal in the Chinese zodiac is added
DRAGONAIR, DUSTOX, GOGOAT, PATRAT
AUDI, AURA, MEOW, SPEW
Makes Pokemon when a two letter atomic symbol is added
Specifically, the atomic symbol of an actinide series element...thanks to @oAlt.
AUDINO, AMAURA, MEOWTH, SPEWPA
GRIMM, HOOT, MUD, TAIL
Makes Pokemon when word describing a sound is added
GRIMMSNARL, HOOTHOOT, MUDBRAY, TAILLOW (low as in cows lowing)
ASK, BELL, CATER, MEDIC
Makes Pokemon when a food is added
YAMASK, BELLSPROUT, CATERPIE, MEDICHAM
BLITZ, CRUST, PLUS, SQUIRT
Makes Pokemon when "le" is added to the end
BLITZLE, CRUSTLE, PLUSLE, SQUIRTLE
CHERUB, SEE, SHIN, STEEL
Makes Pokemon when Roman number is added
CHERUBI, SEEL, SHINX, STEELIX
A, LAUNCHER, NON, NOONE, NUN, PURR, TUN, TWO, WEED, WORM
This group of 10 contains one member from each of the previous groups!
HORSEA, CLAUNCHER, TOUCANNON, LINOONE, MINUN, ESPURR, APPLETUN, MEWTWO, WEEDLE, WORMADAM
Finishing up:
First, reorder the Pokemon in the tenth group to correspond with the order of the categories as they appear above:
MINUN, WORMADAM, TOUCANNON, CLAUNCHER, HORSEA, ESPURR, MEWTWO, APPLETUN, WEEDLE, LINOONE
Then take the first letter of each added component to read MATCH 'EM ALL!.