  We present new two-sided constraints on Lorentz Invariance violation energy
scale for photons with quartic dispersion relation from recent gamma ray
observations by Tibet-AS$\gamma$ and LHAASO experiments. The constraints are
based on the consideration of the processes of photon triple splitting
(superluminal scenario) and the suppression of shower formation (subluminal).
The constraints in subluminal scenario are better than the pair production
constraints and are the strongest in the literature.
