It is definitely a Conder token and appears to be a 1797 half penny. Here's the reference:
http://provincialtokencoinage.weebly.com/Viewing the Middlesex section, it is at the bottom of page 55. Here are some screenshots:
#366


Full page:

According to D&H, this type is common among those. I can't say what that means about its overall rarity. I agree, though, to leave it alone.

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