You all have experience , owner says camera had no problem. Does it work ?
Depends. I'm very familiar with the 1000F as it's the very first AF SLR I ever had in my hands, and now, some 30 years later, I still have it somewhere (although I don't use it anymore). In principle, this is a very reliable camera much like the other EOS cameras.
It does have one notorious failure mode, though. This is one of the cameras where sticky black goo finds its way from the shutter system onto the shutter blade. You'll notice this as high speeds simply won't work - the camera will fire, but you end up with an entirely or partly blank frame. It's also easy to spot on visual inspection; just open the camera back and inspect the shutter blades for any black goo. If it's affected, you can try to remove the goo with something like ethanol or isopropanol on a q-tip. Be careful, of course, as the shutter blades are delicate. Usually, the camera can be restored to working order this way, but the process may need to be repeated several times as more goo oozes from the shutter mechanism onto the blades. I expect that high temperatures speed up this process, so try not to store the camera in a hot car, attic etc.
The 1000F has two minor practical drawbacks in my mind. Firstly, its film transport is kind of noisy, much like that of the Canon T90. You get used to it and it's not all too bad, but it's not as silky smooth and quiet as the later EOS cameras. The other is that this camera takes the relatively expensive 2CR5 battery. If you're going to use this frequently, it may be worthwhile to get an adapter that takes two 123A batteries.
There is no guarantee that fitting a new battery will bring the camera back to life, so you may end up with a paperweight.......and no camera!
No guarantee, but with any given EOS 1000F, unless it underwent some kind of catastrophic event, I'd place the odds of it coming alive when putting a battery in it at something like 99.9%. These are really reliable cameras save for the shutter issue I mentioned above, but even if it's affected by that, it'll still come alive when you power it up.
The 1000F was a relatively basic/low end version within the EOS system, but don't let that positioning fool you - it's a perfectly capable camera and it really offers all a photographer might want. It has an integrated pop-up flash, partial and integral/evaluative metering, can be used in Av, Tv, P or fully manual mode and even has a depth-of-field optimization mode ('Dep'). As Ken Rockwell sometimes says about equipment: if I were to be left with just this camera on a deserted island, I'd just go and make pretty pictures all day, every day. It really leaves very little to be desired.
You all have experience , owner says camera had no problem. Does it work ? 
