Lifespan of connective tissue cells
Not that I'm aware of. There isn't any blood flow to either tendons or cartilage as an adult, so the pathway for migration doesn't exist.

Tendons and cartilage are tissues composed of dead cells after their formation (the cartilage growth plates cease to exist in your teen and completely ossify, tendons I'm not sure on). Damage to tendons and cartilage is permanent, and can cause arthritis (when the cartilage is completely worn away and bone-on-bone contact occurs at joints).

Unlike living tissue, because tendon cells are dead, they are much, much easier to transplant - they do not produce any signaling molecules or have any surface proteins which would trigger an immune reaction for the vast majority of people. Shoulder surgeries often utilize this to the benefit of the patient, especially acromio-clavicular injuries.

If living cells are brought to the dead tissue, some repair is initiated, as I do recall a technique where surgeons tapped into the marrow of a patient's femur to stimulate cartilage reconstruction, but I also remember reading that the new cartilage formed wasn't the same hyaline cartilage produced by chondrocytes of the growth plate, so the repairs were temporary.

Artificially produced tendons do exist, and many are braided in order to foster interaction with host tissues (when you suffer from tendonitis, the tendon itself isn't repaired - the tissue around the tendon is repaired and strengthened). I'm not aware of any successful attempts to regrow tendons.

Attempts to grow cartilage in vitro have been successful, but re-introducing it into the body to produce a surface to articulate against has presented significant difficulties. Because we cannot (currently) reproduce biological articular surfaces, joint replacement often uses composites or surgical grade metals (both of which present problems of their own, but arthritis is not one as there's no living tissue to feel pain).