Traditional FinOps practices built for predictable, human-triggered cloud workloads break down when autonomous AI agents can trigger cascading costs across dozens of model calls, database queries, and API requests in minutes. Agentic FinOps replaces reactive monitoring with autonomous systems that allocate, govern, and optimize AI spend in real time. Key new cost drivers include LLM token consumption, GPU training spend, RAG retrieval steps, reasoning loops, data platform queries (Snowflake, Databricks), and third-party API calls. Effective agentic FinOps platforms need AI-powered cost allocation (replacing manual tagging), multi-cloud and AI provider coverage, real-time anomaly detection, continuous forecasting, and closed-loop optimization workflows. Practical steps include unifying all spend into one source of truth, tying each agent to unit economics and clear ownership, and automating anomaly response.