Lime bitters are a type of cocktail [ingredient=bitters bitters] where the aroma and flavor of lime peel predominates. Lime bitters are difficult to produce commercially as the aromant chemicals in lime (mainly citral and pinene) degrade quickly, especially in acidic solutions, into p-cymene and alpha-p-dimethylstyrene, which are harsher. 

[ingredient=scrappys Scrappy's] makes a good example of lime bitters. 

Scrappy's Bitters Website

Some popular cocktails containing Lime bitters

  • Oh, My Word — Old Tom Gin, Amaro Montenegro, Herbal liqueur, Maraschino Liqueur, Lime bitters, Lemon peel
  • Clair de Lune — Gin, Sherry, Licor 43, Lime bitters, Maraschino Liqueur, Suze, Lemon peel
  • Thin White Duke — Cava, Gin, Ginger liqueur, Pamplemousse Rose, Lime bitters, Lime peel
  • This, That, The Other — Maurin Quina, Blanco tequila, Port, Lime bitters, Bitters, Lime peel
  • Kildalton Cross — Islay Scotch, Genepy, Lime bitters, Grapefruit juice, Lime juice, Simple syrup
  • Radical — Rye, Prosecco, Sweet vermouth, Lime bitters, Orange juice
  • Shady Lane — Gin, Aromatized wine, Lime bitters, Soda water, Blackberry syrup, Lime juice, Shiso, Blackberry
  • Pompeii — Bourbon, Brandy, Madeira, Lime bitters, Cardamom bitters, Rich simple syrup 2:1
  • Bolivian Army Ending — Singani, Lime bitters, Maraschino Liqueur, Herbal liqueur, Orgeat, Grapefruit juice, Lemon peel