The R7 240 doesn't seem to be supported for ReLive:
Radeon Software Crimson ReLive Edition 16.12.1 Release Notes
Disclaimer
(1) Compatible with desktop discrete AMD Radeon™ GCN and Radeon RX 400 Series enabled products with at least 2GB of System Memory, AMD VCE Support and Windows® 7/8.1/10 64 bit operating systems. Radeon ReLive is currently considered "as-is" beta level support for 32 bit operating systems.
(2) Compatible with AMD Radeon™ GCN and Radeon RX 400 series enabled products in specified AMD supported titles and applications with Windows® 7/8.1/10. Power saving and temperature reduction results may vary based on system configurations.
(3) Compatible with desktop discrete GPU AMD Radeon™R9 Fury series, R9 390 series, R9 380 series, R9 290 series, R9 285, R9 260 series, R7 360, and R7 260 products with Windows® 7/8.1/10.
(4) Compatible with AMD Radeon™ GCN and Radeon RX 400 Series enabled products with Windows® 7/8.1/10.
(5) Compatible with AMD Radeon™ GCN and Radeon RX 400 Series enabled products with Windows®7/8.1/10.
(6) Compatible with AMD Radeon™ R9 285, 290, 290X, 380, 390, 390X, R7 260, 260X, 360, R9 Fury series, and Radeon RX 400 series products with Windows® 7/8.1/10. Requires an AMD FreeSync™ technology certified capable display and AMD graphics product.
(7) Compatible with AMD Radeon™ R9 285, 290, 290X, 380, 390, 390X, R7 260, 260X, 360, R9 Fury series, and Radeon RX 400 series products with Windows® 7/8.1/10. Feature is not available worldwide and may not be available in your country or area.
(8) Compatible with desktop AMD Radeon™ R9 Fury series, R9 380, R9 390 series, and Radeon RX 400 series products with Windows® 7/8.1/10. Requires an HDR capable display and game content.
(9) Requires supported Chrome™ web browser versions with Hardware Acceleration enabled. Compatible with AMD Radeon™ GCN and Radeon RX 400 series enabled products on Windows® 7/8.1/10.
(10) Compatible with AMD Bristol, Carrizo and Stoney AMD Family APUs with Windows® 7/8.1/10 and supported Skype™ application.