Chicory is a root vegetable. In Jainism, root/underground vegetables (kand-mool) are generally avoided because uprooting harms many life-forms and because roots are considered to contain subtle life. This guidance is common to both Digambar and Shwetambar traditions, though exact practices can vary by region and time (e.g., during Paryushan/Chaturmas). So, chicory would typically not be considered Jain in regular meals. You may see stricter or slightly relaxed practices depending on community guidance, but the root-vegetable rule is the norm for both traditions.