Propyl gallate is a semi-synthetic ingredient manufactured from plant-based gallic acid. It is used as an antioxidant that protects a skincare product (and especially its oils) from degradation and going rancid.
It can also have some soothing and anti-inflammatory effects on the skin, although this has not yet been researched in great detail.
Science
1
McDonald-Gibson, W. J., Saeed, S. A., & Schneider, C. (1976). The local antinociceptive and topical anti-inflammatory effects of propyl gallate in rodents. British journal of pharmacology, 58(4), 573–581.
2
Final report on the amended safety assessment of Propyl Gallate. (2007). International journal of toxicology, 26 Suppl 3, 89–118.