Does life insurance pay for suicidal death in Singapore?

Yes, after your first year insured, even suicide is covered. But please read the product summary of your policy, it's usually stated in the first few points.

From what I know the waiting period is one year for cases of suicide. Depending on the contract wording the death benefit may pay out or the policy may be void and the premiums paid will be 'refunded' to the estate. Need to fall back on the contract wording for claims assessment.