Eaton's KR family of supercapacitors replace button cell batteries (and the battery holder) for real-time clock backup power, and provide ridethrough for battery operated devices to allow time for battery replacements. The KR has excellent life time in typical 3.6 V systems. The family is RoHS compliant.
KW Coin cell supercapacitor | 5.5 V | 0.1 F to 1.0 F | Eaton
KW Supercapacitor