It doesn't look terrible from the pic, but it probably isn't enough light, even though these are tolerable of low light indoor conditions. First off, I don't see the light so I don't know how big it is, second, it's nowhere close enough to the plant. Technically grow lights should be about 1 foot from the plant unless you have an actual grow room with a lot of lights. You probably will only need to water when the soil is dry on the top, probably no more than once a week, maybe even less. Fronds don't regenerate, the only grow from the center growing point one at a time, although you technically have many palms in the pot. Livistona are single stemmed palms. Never cut a palm frond unless it is completely brown, green fronds are it's natural food source. Hope this fragmented response helps!

Hey thanks, Brad(ley) :) Actually I had just turned off the grow light before I took those pictures and it was nearing dark here, so basically a really bad time to take a photo of the palm. I stick my lamp pretty close to it, but not so close that it may get fried.
Thanks for all the info...although I still don't know what to do about those top frond fingers which are dried, crispy and hopelessly bent. Just seems so sad that I can't touch/prune them even though they're in such dire straits (and take away from the general loveliness of the plant!)

Thanks again.

It looks okay, sometimes palms get used to being outside so when they go inside they do show negative effects. If it looks bad in the spring I wouldnt worry much, here's how mine looked outdoors in February....

They are pretty hardy plants and will grow back well after neglect. Mine loses most of iit's fronds every winter even when it was a potted plant 3 years ago it was always underwated and never looked good in the following spring, but it always came back nicely.

Good luck!
-Alex

Thanks Alex!
Wow, that is amazing how your palm completely turn itself around come the end of summer. Really beautiful.
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I need to try a few of those.

The drying of the fronds is probably due to dry furnace air blowing around the room, even if it's not blowing directly on the palm. I've had this problem with Sabal Birmingham and Majesty palms indoors in the fall and winter. They seem to do better in my cold unheated garage because of lack of furnace. Place it as far away from a heat vent as possible.

And as Bradleyo suggested, do not overwater it. Palms that are overwatered will get root rot and die no matter what. But don't treat it like a cactus either.

Thanks Cherrychapstick!
And you have nothing to lose wetsuiter, livistonas are one probably the cheapest potted palms out there, the one in this pic was only 10 dollars so if they dont survive then at least you still had an awesome looking annual for half the year!
-Alex