His career as a wood engraver, although cut short by the World War II, was distinguished and he was highly thought of by his contemporaries such as Macnab and Guy Malet. 

From 1932 he was a teacher at Westminster School of Art where his colleagues included Clifford Webb and Blair Hughes-Stanton, among others. Together they formed a very advanced department under Kirkland Jamieson, being the first London Council School to teach abstract art. In the early 1930’s Chadwick visited Spain and produced a numb of engravings of Catalan landscapes and peasants. 

He exhibited at the SWE and in 1936 won a prize and medal at the Chicago International Exhibition for his print 'The Introduction'. He exhibited at the Redfern Gallery, NEAC, RA, ROI, GI and RBA. Chadwick was killed at the Battle of Alamein in North Africa in an attempt to recover the body of his dead brother.