Talbot's Damselfish (Chrysiptera talboti) are relatively hardy and peaceful damselfish, making them suitable for reef aquariums. They require a minimum 75-liter tank with ample hiding places like coral and live rock, and a sandy substrate. They thrive in a stable environment with a temperature between 74-82°F (23-28°C), a pH of 8.1-8.4, and a salinity of 1.022-1.026. 
Here's a more detailed look at their care:
Tank Size and Setup:
A minimum tank size of 75 liters (20 gallons) is recommended, but larger tanks are preferred to accommodate their active nature and potential for territoriality as they age.
Provide ample hiding places like crevices and caves created with coral and live rock.
A sand substrate allows them to bury themselves if they feel threatened.
Any kind of lighting and water movement is acceptable. 
Water Parameters:
Temperature: 74-82°F (23-28°C).
pH: 8.1-8.4.
Salinity: 1.022-1.026. 
Diet:
Talbot's Damselfish are omnivores and should be fed a variety of meaty and algae-based foods, including Spirulina.
They can accept food in various forms like frozen foods (mysis shrimp), high-quality pellets, and flake foods.
Feed them at least once per day, ideally two to three smaller meals for optimal nutrition. 
Tank Mates:
They are generally peaceful and can be kept with other peaceful reef fish, but they may become territorial as they age. 
Avoid keeping them with aggressive or overly shy tank mates. 
Suitable tank mates include Angelfish, Triggerfish, Hawkfish, and Tangs