It gives you a convenient way to say "remember this bug for me, we should fix tomorrow". I'll be playing around with it more for sure.
I asked Claude to give me a TLDR (condensed from its system prompt):
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Persistent directory at ~/.claude/projects/{project-path}/memory/, persists across conversations
MEMORY.md is always injected into the system prompt; truncated after 200 lines, so keep it concise
Separate topic files for detailed notes, linked from MEMORY.md What to record: problem constraints, strategies that worked/failed, lessons learned
Proactive: when I hit a common mistake, check memory first - if nothing there, write it down
Maintenance: update or remove memories that are wrong or outdated
Organization: by topic, not chronologically
Tools: use Write/Edit to update (so you always see the tool calls)