You can use alpha arbutin for longer than three months, but experts recommend taking a break every 3-6 months. This helps prevent potential irritation or rebound hyperpigmentation. You can then resume using alpha arbutin after a break if needed.
Some experts even recommend continuous use for up to 6-8 months, as long as you don't experience any adverse effects.
It's always best to consult with a dermatologist to determine the best course of action for your specific skin type and needs.