Eye irratation due to lymphatic fluid from Dysport. (Photo)

Nope! Don't see a "lymph specialist" - see an eye doctor for your symptoms. You should also communicate with your injector - as they might have treatments like Thermage for this issue.Best wishes, Dr. ALDO 

Botox results last up to 3-4 months and can be softened with venus legacy and thermage treatments. I recommend getting a formal evaluation with a cosmetic dermatologist. If eye irritation persists, see an opthamologist. Best, Dr. Emer

Neuromodulators injected into patients with significant eyelid laxity can lead to scleral show leading to eyelid irritation.   This can also accentuate laxity leading to a puffy eyelid.  Thankfully it will resolve over time.  In the mean time, moisturizing eyedrops and ointments are the best treatment to treat the irritation since it exaccerbated by dryness.   Best of luck.

It appears that dysport was injected either with higher concentration or too close to the supporting muscles of your lower eyelids. Your cornea needs to be protected by wearing eye patched or supportive taping during days until your paralyzed lower eye lid muscles recover in next 6 weeks or 2 months.

What is shown in your photo is the typical lower eyelid fat pocket ( Bags).  Lymphatic drainage problem has a completely different appearance and sits at a lower level.  You do show some lower lid laxity that could be due to Dysport ( pre-injection photos needed to compare !! ) which has accentuated your "bags". Dysport will gradually wear off within 4 months. See your ophthalmologist is this persist.