Does running with ankle and wrist weights make much of a difference?

It's not.  The reason is that it will be taxing for your joints.  Thus, it will make a difference which you won't want  to experience.

I agree with MercNil, running with wrist/ankle weights could easiky lead to injury.  Whats your goal in doing this?  If its to burn off more calories then run uphill, run faster, ordo burpees.  On the other hand if you want to gain some muscle while doing cardio then do complexes

http://www.askscooby.com/advanced-techniques/complexes-for-weight-loss-and-overall-conditioning/

If you just want to burn more, either run faster or longer - or alternate between them. Or do interval training on running.

A little story I wanna share:
When I was a teenager I was playing soccer. One day I came up with the idea to get faster and stronger for soccer by playing soccer with ankle weights. Similar to those:
http://www.amazon.com/Reebok-05-55080-Reebok-Adjustable-Weight-10-Pounds/dp/B003PAX770/ref=sr_1_5?s=exercise-and-fitness&ie=UTF8&qid=1327145089&sr=1-5
I did that one summer long. Maybe it did improve my speed and shooting strength. I cant really tell . But the one thing I know for certain is, at the end of the summer the weights were destroyed . They lost a little of the sand and the closing mechanism was defect. In short the weights became useless to me ^^. And I wasnt injured. I also did not do that with a second set of weights because the results were not as good as I was hoping .
The only thing I liked was that when I turned them off, I felt like I could fly. But usually I was not able to perform as good as if I had not worn them before .

It is.  Simply do it without those and you'll be fine.

No problem. Keep up the effort. :3

Did that too for a while. Depending on how long/intense you do it, it will do more harm than good. I dropped it because of the overuse of the forearm muscles/wrist that I felt.

So: no.