When should I replace my timing belt/chain? how much should it cost?

Chain,should not ever need replacing.should last the life of the engine.

See Factory schedule below for 2013 Honda Fit. Not equipped with timing belt 120000 miles or 192000 kilometers Inspect Brakes and Traction Control (S) Inspect Front and rear brakes. Constant Velocity Joint Boot (S) Drive Belt (S) Exhaust System Fluids Inspect all fluid levels and condition of fluids. Fuel Supply Line Inspect fuel lines, hoses, and connections. Parking Brake System Steering and Suspension (S) Inspect tie rod ends, steering gear box and boots, and suspension components. Replace Air Filter Element (S) Cabin Air Filter / Purifier Replace dust and pollen filter. If you drive primarily in urban areas that have high concentrations of soot in the air from industry and from diesel-powered vehicles, replace every 15,000miles (24,000 km). Coolant Replace coolant at 120,000 miles or 120 months, then replace every 60,000 miles or 60 months thereafter. Engine Oil (S) Perform at interval or every year, whichever comes first. Fluid - A/T (S) Replace transmission fluid. If towed behind motor home change the transmission fluid every 2 years or 30,000 miles (48,000 km), whichever comes first. Fluid - M/T (S) Oil Filter, Engine (S) Reset Maintenance Required Lamp/Indicator Perform any time the required service is completed. Rotate Tires (S) = Service Warranty Requirement (E) = Emission WarrantyRequirement (B) = Both Service and Emission Warranty Requirement