Claude won't train on your inputs, even for free trial accounts. That's clearly spelled out in their terms:
https://www.anthropic.com/legal/consumer-terms> We will not train our models on any Materials that are not publicly available, except in two circumstances:
> 1. If you provide Feedback to us (through the Services or otherwise) regarding any Materials, we may use that Feedback in accordance with Section 5 (Feedback).
> 2. If your Materials are flagged for trust and safety review, we may use or analyze those Materials to improve our ability to detect and enforce Acceptable Use Policy violations, including training models for use by our trust and safety team, consistent with Anthropic’s safety mission.
You have to read the terms carefully for everyone though, it's frustratingly hard work to keep up with these policies.
Anthropic do have a very interesting way of analyzing usage of their tools without exposing any data to their researchers: https://simonwillison.net/2024/Dec/12/clio/