The adj neat has 6 senses (first 4 from tagged texts)
1. (9) neat -- (clean or orderly; "her neat dress"; "a neat room")
2. (1) neat -- (showing care in execution; "neat homework"; "neat handwriting")
3. (1) neat, refined, tasteful -- (free from what is tawdry or unbecoming; "a neat style"; "a neat set of rules"; "she hated to have her neat plans upset")
4. (1) clean, neat -- (free from clumsiness; precisely or deftly executed; "he landed a clean left on his opponent's cheek"; "a clean throw"; "the neat exactness of the surgeon's knife")
5. bang-up, bully, corking, cracking, dandy, great, groovy, keen, neat, nifty, not bad, peachy, slap-up, swell, smashing -- (very good; "he did a bully job"; "a neat sports car"; "had a great time at the party"; "you look simply smashing")