If it is just the clutch - then yes, worth the effort/cost to repair it. 7th gen Corollas have a rep for lasting a long time, as long as you stay on top of the maintenance.
As for a DIY job, it is doable, but also depends on how comfortable you feel doing it - what experience you've had. Clutch can be replaced without pulling the engine, just dropping the transaxle - but can be pretty tough. There are a couple of DIY writeups in this forum for sure - might have to search some past posts to get to it.
Not sure what you meant by "home remedy" - as for a DIY clutch disck / throwout bearing / pressure plate / flywheel servicing - then yes, it can be done by you. As for a band-aid, temporary fix - if the clutch disc is worn, there is no other fix than replacing it. In fact, running on a bad disc can hasten damage to other components to your powertrain, not to mention be a safety issue on the road - then no, there is no miracle additive or spray or etc that you can do to "fix" a worn clutch.