From what I’ve been reading, the F11-F1 was introduced into the US Navy by the Mid to Late 1950’s, and by the early 1960’s, were retired, thus leaving a career of about 5 or so years, with only the Blue angels using them for longer. Why was this?
The early jets used by the US Navy mostly had quite short operational lives. The first USN jet fighter that saw over 5 years service on carriers was the F-8 Crusader, which saw 5-9 years service on carriers, depending on the squadron. The F-8 was far from ideal, being difficult to fly, and accumulated an astounding accident record over its career, with 88% of F-8s crashing. The F-4 Phantom saw longer service, operated for over 10 years by most squadrons which flew it, and for almost 20 years by some.
The F-8 saw somewhat longer service than earlier fighters due to its higher performance - supersonic, better ceiling, better climb rate, longer range. Without the F-8, the F11 Tiger might have seen longer service, but with the F-8, the F11 was rather underwhelming. As it was, the F-8 was sufficiently better so that further orders for the F11 were cancelled, and the F-8 acquired instead. Thus, the F11 typically saw only about 3 years service on carriers with the squadrons flying it. This wasn't an exceptionally short career for the carrier aircraft of the time - this was normal for early USN carrier jets. Multiple squadrons flew two or three different types of jets in the 1950s.
I already mentioned the relatively long carrier career of the F-4 Phantom. This was exceeded by the F-14 Tomcat, which replaced the F-4 in many squadrons in the mid-to-late 1970s; the F-14 was flown by many of its squadrons for about 25 years, and sometimes 30. The F/A-18 Hornet also had a long career, flown by squadrons for 20 to 30 years before those squadrons transitioned to the F/A-18E or F/A-18F Super Hornet (which has now reached 20 years service with the squadrons which adopted it first).
For an overview of the chaotic times of the USN transition to jets, see:
Rubel suggests that judging by accident rates, the first really satisfactory carrier jet fighter the USN had was the F/A-18 Hornet. The USN accident rate peaked in 1954, with 776 aircraft lost, at an accident rate of over 50 per 100,000 flying hours. Today, the accident rate is below 1 per 100,000 flying hours - the F/A-18 Hornet deserves its long career, and the same is true for its successor (and also successor to the F-14) the F/A-18E/F Super Hornet.