I think ITC on the lift is not available. The reference is :
No doubt Lift is qualifying as a machine under the HSN list. But what the plain reading of the sec. 17(5) (d) clearly suggests is that any goods or services used for construction of an immovable property, the credit of the same will be blocked.
The exception is for Plant & machinery.
I interpret the section as if we use any goods for construction of Plant & machinery which is separate that of the other immovable property, then we can claim the credit on the same plus its structural support.
If we use lift in the construction of the immovable property such as building etc, the credit seems to be blocked.