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We introduce the notion of conformal twisted product submanifolds of the form $M ={} _fM^T \times {}_bM^\theta$ and $M ={}_fM^\theta \times {}_bM^T$, where $M^T$ is a holomorphic submanifold and $M^\theta$ is a proper slant submanifold of $M$ in a locally conformal Kaehler manifold. We give an illustrative example such submanifolds and we give necessary and sufficient conditions for proper semi-slant submanifold to be a locally conformal twisted product. We establish a general inequality for the square norm of second fundamental form of such submanifolds.