Pronunciation: [stˈʌdi at θˈɪk] (IPA) 
The correct spelling of the phrase "study at thick" is actually "stuck in a rut." "Stuck" is pronounced as /stʌk/ and "rut" is pronounced as /rʌt/. The confusion between the two phrases might stem from a mishearing or misinterpretation of the words. It's important to pay attention to the proper spelling and pronunciation of words to avoid miscommunication and misunderstanding.
There is no dictionary definition for the phrase "study at thick." However, based on the context, it seems like a combination of two separate concepts: "study" and "thick" as an adjective. Here is a possible interpretation:
Study: The noun "study" generally refers to the act of applying oneself to learning, reading, or investigating a particular subject or topic. It involves engaging with scholarly material, analyzing information, and gaining knowledge or understanding.
At: The preposition "at" in this phrase suggests a location or position in relation to the study. It signifies being present or engaged in the act of studying.
Thick: The adjective "thick" can have multiple meanings depending on the context. Some possible interpretations could relate to the density, abundance, or intensity of something. In this context, it may indicate a high level of focus, concentration, or immersion in one's study practices.
Combining these elements, "study at thick" could be understood as the act of studying diligently, intently, or with a deep level of dedication and focus. It suggests an individual fully engrossed in their studies, demonstrating a strong commitment to learning and acquiring knowledge.
