Hi SpaceGh0st
I have to disagree with the folks who suggest buying a DSLR (and even worse a point and shoot digital) as oppose to a 35mm SLR to start. While Digital is cheaper per shot, there is really no such thing as a student DSLR. All DSLR's on the market are overly complicated for the student photographer. They all have a million settings that the student photographer needn't be concerned with and will inevitably get distracted by right out of the gate, causing them to miss key points in the basics of photography as they end up learning more about timely auto features of a specific, soon-to-be-obsolete digital camera.
On the other hand, the OM10 is a really bad choice as a first SLR and I wonder why you came to the conclusion that you should buy this model. It too is loaded with timely auto features and is not a proper student camera.
What I recommend is buying a proper student camera that is 100% manual and has ZERO auto features. While the cost of film will slow your learning pace, it will also force you to read and be careful so as to predict your results as oppose to learning by trial and error alone which is how most people learn on digital cameras.
Look out for a Nikon FM, Pentax K1000, Canon FTb or if you like Olympus the OM-1. All these cameras are well-made, reliable vintage film cameras that are fully manual. You should buy them at REPUTABLE CAMERA SHOPS like KEH.com. NEVER buy your first used/vintage film camera from a thrift shop, Craigslist, eBay or the like which is what I suspect you are doing. Why? Because these are old cameras that are often sold by people who don't know or care if they work correctly and most of the time, when not cared for, they do not. Buy from KEH.com and you spend a little more money (still far less than a DSLR) and you get a 6 month warranty with your camera.
Or you can buy a NEW student 35mm SLR such as the Nikon FM10 or Vivitar V3800. I recommend BHPhoto.com or FreestylePhoto.biz for that.
Also, buy a basic photography guide or take a class on basic film photography at school.
Here is a great website where you can learn about film photography:
http://www.guidetofilmphotography.com/
As to if it's worth it or not and not spending all your savings, well that is all up to you. If you think you might be developing a passion for photography, this, in my opinion is the BEST direction to go. Even if you go digital later, you'll have a much more solid foundation by learning with film first. As for your savings, well the nature of life is that you have to keep making money in order to sustain your hobbies and interests. Digital or film photography is expensive and costly by nature. Some will tell you that one is cheaper than the other but it's all a matter of what you're into and how you do it. If you plan on spending no more than $100 or $1000 on this hobby, that is not going to happen because there will always be other items you'll need or want to buy in order to keep your work moving alone. So getting a job, maybe even at a camera shop, would be the thing to do. It's time to start making money and spending it on something that could turn out to be an investment for you. Or maybe it's not. But like I said, that's up to you!
METAL AND MANUAL
FILM FOREVER