Is this going to work?

Not bad, but for that price you can make a much nicer build:

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: AMD FX-8320 3.5GHz 8-Core Processor (£113.99 @ Aria PC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler (£22.85 @ CCL Computers)
Motherboard: ASRock 970 Extreme3 ATX AM3+ Motherboard (£67.29 @ Amazon UK)
Memory: A-Data XPG Gaming Series v2.0 8GB (2 x 4GB) DDR3-1866 Memory (£41.40 @ Amazon UK)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive (£46.85 @ Aria PC)
Video Card: Gigabyte Radeon HD 7870 2GB Video Card (£159.98 @ Amazon UK)
Case: Fractal Design Define R3 Black Pearl ATX Mid Tower Case (£61.18 @ Scan.co.uk)
Power Supply: Corsair CX 600W 80 PLUS Bronze Certified ATX12V Power Supply (£57.54 @ Amazon UK)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer (£12.94 @ Amazon UK)
Total: £584.02
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2013-09-10 21:20 BST+0100)

Enjoy :)
 


Better to stay with your original pick.