If life around a neutron star could flourish, what would it look like?

Read the following novel, which depicts that exact scenario.
"Dragon's Egg is a 1980 hard science fiction novel by Robert L. Forward. In the story, Dragon's Egg is a neutron star with a surface gravity 67 billion times that of Earth, and inhabited by cheela, intelligent creatures the size of a sesame seed who live, think and develop a million times faster than humans."

The scientists used the Chandra Space Observatory to analyze X-rays from the pulsar B1257+12. Their calculations suggest this pulsar's two super-Earths might be warm enough to have liquid water on their surfaces, Patruno said. [The X-Ray Universe: Chandra X-Ray Space Observatory Pictures]


The researchers noted the habitability of planets around pulsars depended on at least two key findings. For one, atmospheres a million times thicker than Earth's are likely needed to protect any life on their surfaces from pulsar radiation. This would make conditions on these worlds similar to ones found in Earth's deep seas.


"The atmospheric pressure you find on the surface of these planets is comparable to or even higher than the pressure you have in the Mariana Trench," which at 36,000 feet deep (11,000 meters) is the deepest known point on Earth's surface, Kama said.


"However, since we know that life exists in the depths of our ocean, some form of life might certainly exist in these high pressure and warm environments," Patruno said.

Maybe the same as life that would flourish in battery acid, if it could.And I would suggest that questions about life should be directed to biologists, as they are the experts in all things biological, including the environmental needs of living systems.

You should look up Cheelas