I used to apt-get install lldpd on Debian but now I can't find same package for Fedora. Needed command line tool is lldpcli. Usage example:
lldpcli show neighbors
Does fedora has this tool too?
Yes, it does.
The project website's installation page explains that you must use openSUSE's repository since the packages are not present in the official repositories, or you can build from source.
The instructions for using openSUSE's repository are here.