Short and Sweet: YES, do take the time to clean your electronics. Below is my own subjective experience. YMMV
When I was 17 I owned what was arguably the best laptop available to consumers in the whole world. It had the first edition of Pentium 4 mobile processors, a dvd burner and a 32 MEG (!) GeForce 4 mobile video card. I was the envy of all my friends. (I got it from the make a wish foundation after having cancer, they envied the laptop, not the cancer)
A year later the CD drive seemed to stop reading any media that I put in. It was intermittent for a long time but eventually it wasn't able to read anything. This made was a pain because bios' back then didn't support booting from USB and when I wanted to re ghost the thing the CD's were useless. I tried booting it over the network but that was a huge pain in the ass and didn't go well. I continued to use the laptop for another year or two.
I got a new desktop computer and the laptop went to collect dust in my desk drawer. A few years later I was cleaning out my desk and brought out the old laptop, wondering if I could get the OS reinstalled somehow. CD ROM drive still didn't work. I took a Q-tip and swabbed the little laser lens thingymabob just for shits (it didn't look dusty or dirty) Magically, Every CD I put in suddenly worked. The lens was just a little smudged I guess. I didn't use a perfectly good computer for years because of some stupid dust. (I forgot to mention, the computer was at a point where I reformatted but hadn't put any os on it so it was useless even for simple tasks)
I also had a desktop computer that use to freeze occasionally during times of intense rendering / cpu usage. It was pretty old and when I opened the case there was a lot of dust collected in the proc's cooling fan. I just blew on it (no canned air) and got most of the dust out. No more over heating problems.
One good reason why computers can do more work than people is that they never have to stop and answer the phone.