I may be wrong but isn't uranium rare? I think they have to process tons of ore to get a little uranium.
That's true of most any metal. Sometimes there are very pure veins, but those are very much the exception.
Uranium is actually remarkably common, about 40 times more common than silver and 500 times more common than gold.
However, there is very unlikely to be any more than the very slightest of traces of it in aforementioned fishing reels.
Keep in mind that uranium is very heavy, much more so than aluminum.
I would actually question whether or not a fishing reel from the 1940s or 1950s is made of aluminum. While it's so common today that we make pop cans out of it, 50-60 years ago aluminum was pretty exotic, expensive stuff. In the kitchen today, we sometimes wrap foods in a aluminum foil; but we often call it tin foil. The reason for that is that until fairly recently it was tin foil.
Anyway, most uranium is not highly radioactive and is, in fact quite harmless. It's all around us, in the dirt and in the dust and in the air we breath (don't tell the environmentalist whackos). And it's not there because of atomic bomb tests or nuclear power plants but rather because uranium is part of nature.
If your friend has some concern, a simple Gieger counter will answer the question. Of course, the next question is where to find one. Metal scrap dealers will have one. Any college or university chemistry or physics department should. Hospitals usually do too.