Watch TV on an LCD PC Monitor?

[veg-o-matic]

I've been toying around with buying an LCD TV for the bedroom, not because I want HD, but because it won't take up any floor space.
They've not come down in price enough to suit me (I'm a cheapskate ) so I wondered about using an LCD monitor.
I'd have to hook up my DVD player to it anyway, and the player has a tuner, so... I don't have digital cable and probably never will. Being able to count the individual blades of grass on the field isn't high on my list of priorities; I just want to watch the occasional TV show.
Can I do this? It looks like it could save me a couple hunderd bucks if it's possible. I was going to go into Office Depot yesterday and ask but on second thought, I figured it was better to ask the AK Experts than to rely on some teenager who's only there for the holidays .

veg