According to About.com, there is no specific phobia for someone who is afraid of fruit, but someone who has Cibophobia is afraid of food in general. This phobia covers a lot of different irrational fears of food, including being afraid of fruit.
About.com states that Cibophobia ranges from the fear of eating certain foods, such as fruits, to being terrified of eating foods that have gone past their expiration dates. Some people who have this phobia are often mistaken for having anorexia, which is a very dangerous eating disorder. This is not the case because people with Cibophobia do not eat because they are afraid of the food they are asked to eat, rather than because they are afraid to gain weight.