Is chlorophenylmethane the correct IUPAC name rather than chloromethylbenzene?
The preferred IUPAC name is, indeed, (chloromethyl)benzene, built from substitutive prefix chloromethyl. The parentheses around "chloromethyl" are required because it is a compound substituent (a simple substituent attached to another simple substituent, specifically, methyl and chloro in this case). The Blue Book [1, p. 66] has plenty of examples similar to yours:


  $$
\begin{array}{lll}
\ce{C6H5-CH2-NCS} &amp;\quad &amp;\text{benzyl isothiocyanate} \\
  &amp; &amp;\text{(isothiocyanatomethyl)benzene (PIN)} \\
  &amp; &amp; \\
\ce{C6H5-NC} &amp;\quad &amp;\text{phenyl isocyanide} \\
  &amp; &amp;\text{isocyanobenzene (PIN)}
\end{array}
$$


Note that common names for this molecule also include: benzyl chloride and α-chlorotoluene.

References


Favre, H. A.; Powell, W. H. IUPAC “Blue Book” Nomenclature of Organic Chemistry: IUPAC Recommendations and Preferred Names; IUPAC Recommendations; Royal Society of Chemistry: Cambridge, England, 2013. ISBN 978-0-85404-182-4.