The exact answer to how quickly the insurance company has to settle a claim in Florida is that it depends on the type of the claim. Florida has laws that apply to all car accident insurance policies and laws that apply specifically to personal injury protection PIP (no-fault) claims.
For a general insurance settlement, the insurer just has to investigate and pay or deny the claim within a reasonable period of time. For a PIP claim, the insurance company has 30 days to pay or deny the claim.