Davey's editorial cartoons have appeared in several UK publications including The Sun, The Guardian, The Times, The Independent on Sunday, The Independent and The Scotsman and he has drawn for TV news. His gag cartoons have been published by Private Eye, The Spectator, The New Statesman, Prospect, E!Sharp, (the late, lamented) Punch and (the short-lived) Squib and he has drawn a regular caricature profile for The Sunday Telegraph. He drew a strip for the cartoonists' magazine Foghorn.