Small clause

Definition
Small Clause is subject-predicate construction without a finite verb.

Example
The PP in (i) and the NP in (ii) are analyzed as small clauses with him the subject.

(i) I want [PP him out of my sight] (ii) They consider [NP him a fine teacher]

In general a small clause is an XP with a subject, where X = N, A, V or P. It is a point of debate whether the subject is in the specifier position of XP, or adjoined to XP at D-structure.

Links
Utrecht Lexicon of Linguistics