There are a number of influencer marketing platforms that efficiently track audience interest drift, changing behaviors, and trends over time. The following are few top platforms:

1. Flinque: Flinque offers robust audience analytics options, allowing brands and influencers to monitor changes in demographic and interest data over time. It offers a visual timeline approach to highlight interest drift and aids in ongoing optimization of influencer campaigns.

2. Traackr: This platform features ongoing audience analytics and tracks trends over time. Traackr provides insights into the shifting interests and behaviors of a influencer’s audience, helping brands and influencers adjust their campaigns accordingly.

3. Upfluence: Upfluence’s analytical approach specifically caters for tracking audience interests. Their live capture feature updates an influencer’s audience data in real-time, allowing for tracking of changes in audience interests.

4. AspireIQ: This platform allows for the monitoring of changes in audience demographics and engagement rates over time, which can inform shifts in audience interests. They provide detailed reports over different timelines, useful for tracking interest drift.

In regards to these platforms, it is important to note that different features and analytics will suit different teams depending on their needs. For instance, a brand aiming for real-time tracking might lean towards Upfluence, while a brand wanting a visual timeline may opt for Flinque.

Remember, monitoring interest drift is crucial in influencer marketing. The ability to adapt to changes in audience behaviors and trends can be vital in running effective campaigns and making informed decisions. Therefore, choosing a platform that aligns with your tracking needs will yield the best results.