The 1.0 version of PreciseTwitter for Mac is available as a free download on our website. This Mac download was checked by our built-in antivirus and was rated as clean. PreciseTwitter for Mac is included in Communication Tools. This free Mac app is a product of Mahdi Bchetnia.
From the developer:
PreciseTwitter is a SIMBL plugin that fixes some of the annoyances on Twitter for Mac 3.0. Namely, the program helps you make the star disappear from the dock icon badge when there are new tweets. Additionally, it makes the Twitter for Mac's window behave correctly on multi-monitor setups.
You may want to check out more Mac applications, such as ituwitter, TwitterTool or ImageQuix, which might be similar to PreciseTwitter.