Moderate amounts of fruit could be ok while dieting, but different people react differently to carbs. The book "Metabolic Typing Diet" by William Wolcott goes over how each person is individual, and while one person might get ripped while eating fruit, another might gain fat. Some people have to cut the carbs really low while others do fine keeping it high. Even Charles Poliquin says 75% of his clients do good on low carb while the remaining 25% do well on high carb.
If you handle carbs fine, then some fruit would be ok. You might have to adjust based on your experience, though. Most fruits are about 50% fructose (except bananas, which are about 30%), but the real problems with fructose comes from things like sodas which contain high fructose corn syrup, which is about 80% fructose. Since fructose doesn't stimulate an insulin response, this gives things like soda seemingly low glycemic index for being sugar water! (in the 60s). That's when fructose is a real problem...when you get really high levels of it with not much else - this raises blood sugar levels without an insulin response...so you're left with lots of sugar staying in your blood! Not good.
Now if I may recommend two supplements to help manage carbs well. Alpha lipoic acid, of course, at at least 600mg, and up to 1200mg per day. Another is called "carb support" from a small company founded by two pharmacists I know. It contains a whole lot of ingredients to help manage blood sugar and increase insulin sensitivity. In my experience, it helped reduce ehunger between meals as well.
Here's the link to that supplement: http://askrph3.com/Merchant2/merchant.mv?Screen=PROD&Store_Code=ATP&Product_Code=LJ-CS-90&Category_Code=c