How important is it to stretch after cycling?

I can tell you one thing. Stretching is overrated. It does offer some benefits but it is far less than a miracle. So it would be wise to stretch lightly before and even after a workout. It can help loosen up your muscles and increase blood flow. But don’t expect bigger muscles or something like that from stretching.

The Top 3 Cycling Stretches
Stretching is one of the most under-utilized techniques for improving athletic performance, preventing sports injury and properly rehabilitating sprain and strain injury. Don't make the mistake of thinking that something as simple as stretching won't be effective.

Stretching is essential to overall conditioning and should be an integral part of any training routine. Due to the long period of time spent in the same position, stretching is very important to the cyclist, both pre- and post-training. Stretching can be a powerful rehabilitation tool, as wel

Kneeling Quad Stretch: Kneel on one foot and the other knee. If needed, hold on to something to keep your balance and then push your hips forward.

Cycling stretch for the achilles Single Heel-drop Achilles Stretch: Stand on a raised object or step and place the ball of one foot on the edge of the step. Bend your knee slightly and let your heel drop towards the ground.

Cycling stretch for the lower back Lying Knee Roll-over Stretch: While lying on your back, bend your knees and let them fall to one side. Keep your arms out to the side and let your back and hips rotate with your knees.

It's from the Stretching Institute's website, hope it helps!