Hi Ilya,
Sorry for the delayed response.
1. First, the datasheet theory of operation (pg. 15, paragraph 2) says that AD8036 and AD8037 can be used in either inverting or non inverting configuration but the clamp in function will only work at non inverting mode. in conjunction to this, Application Section (pg 17) says that the clamping feature of AD8036 and AD8037 only works when the amplifier is configured in non inverting mode, but to clamp in an inverting circuit an additional inverting gain stage is needed. With the circuit in Figure 12, these restrictions are met.
With your concern 'does follower in this case means unity gain inverting?', Yes you're right but for the case when the input is in negative cycle only. For the positive input cycle, the operation is different (the operation explained on page 19).
2. Can you share to me the circuit you have in mind? I want to have a closer look to assist you better. Thanks.
Best Regards,
Jino