Link is a pain in the ass. I haven't figured out TL yet, but your general gameplan vs Link should be aggro/CQC. You can't really leaf, seed bomb is good though. BAN stages with mainly horizontals (smashville, FD, PS2, etc). Try to nair more in general, you can link fair->nair easily and that leads to seed bomb traps or more nairs. Don't pressure his shield at high %, you'll eat an UpB OoS and getting hit by those blows. Don't cross him up unless you land way behind him, he has that stupid backwards grab hitbox (and upB and usmash). Shield pressuring this character is pretty dangerous in general, so be confident or just seed bomb/leaf and go for more abstract pressure and followups.
You out-everything him at the ledge, so camp with fair and leaf and force him to back off until you regain some footing, be wary of FH dair against you at the ledge though, which will beat you if you go on autopilot with fairs.
I don't know the %s to throw into vine whip against Link offhand. Dthrow puts him in a terrible position for most %s, but throw him offstage whenever you can. He'll be forced to go high or eat a (RAR) bair, which you can just spam until he dies or grapples. One cool thing is to grapple UNDER Link as he recovers, wait for his UpB or grapple, and take advantage of Ivy's superfast reel-in to get the ledge before him. If he's still grapped, drop->nair to drag him to hell, else just do whatever you feel is a good punish (bair and WL grab come to mind.
Don't be above him if possible.
Link is very frustrating, feel free to hang back and watch how he chooses to throw his arsenal at you. You have more time than he does (I don't know if this makes sense). Don't fall for dash attack. If he jabs you, hold shield+cstick away to avoid the inevitable grab (I mean, mix it up, but that stuff is mega guaranteed against a lot of characters so Links will look for it). If he dthrows you at low %, I'm pretty sure you can nair before he utilts or regrabs.
Dtilt clanks with rang and bombs. Not sure about arrows. Try not to get hit by any of those things, because the followups are VERY easy for Link. Getting hit by rang SUCKS, omfg.
I dunno man. Link is really dumb.