Are there any examples of calculations or observations of suspected effects of shock waves on chemical evolution in interstellar medium or circumstellar medium?
Shock waves in the interstellar medium (ISM) can be caused by a spiral density wave, supernova shock, or turbulent flow collision. These waves sweep, compress and heat the ISM, thus modifying which chemical reactions can occur. These physical conditions can harbor the chemical reactions to create complex molecules such as NH$_3$, CH$_3$OH, H$_2$O and more.
Based on a chemical/dynamical model, Bergin et al. (2004) investigates the formation of molecular clouds behind shock waves. In the $10^6$ years after the shock wave has passed, the temperature of the ISM is rather high (10 000 K) and molecules are photodissociated. As the ISM cools down, H$_2$ can start to form, followed by CO (which needs to be shielded from photodissociation by the H$_2$). Within 20 million years after the passage of a shock wave, atomic gas has been turned into molecular material.
The chemistry that occurs due to a supernova shock could even explain where some molecules found in comets come from. During a shock, water vapor is formed through reactions with hydrogen and oxygen. Bergin et al. (1998) shows that H$_2$O and CO$_2$ formed in the shock can deposit on grains.
This is a good question, and probably there is no certain answer right now. Also, the impacts of shock waves depend on what scenarios we are talking about.
For an example in the case of supernovae, especially in Type II (H-rich), the shock wave forms double structures: forward and reverse shocks. Area in between the shocks can sometimes form a small region that supports cooling and dust forming, therefore, enhances the chemical evolution. However, if we think about the shocks blowing circumstellar materials out into the void, the shocks slow down chemical evolution.