I think a good way to do this would be to create a new environment for a subsection that is designed to be empty, and just call it something new, such as rEmptySubsection. Looking at the source for the class you are using, here is what the environment for the rSubsection with a list looks like:
\newenvironment{rSubsection}[4]{
%%%%%%%%%%%%%%%%%%%%%% Default Layout: %%%%%%%%%%%%%%%%%%%%%%%%
%% Employer (bold) Dates (regular) %%
%% Title (emphasis) Location (emphasis) %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf #1} \hfill { #2}% Stop a space
\ifthenelse{\equal{#3}{}}{}{
\\
{\em #3} \hfill {\em #4}% Stop a space
}\smallskip
% \cdot used for bullets, items non-indented
\begin{list}{$\cdot$}{\leftmargin=0em}
\itemsep -0.5em \vspace{-0.5em}
}{
\end{list}
\vspace{0.5em}
}
Starting with the same idea, and assuming you only want to remove the list from the environment, you can do something like this:
\documentclass[10pt,a4paper]{resume} % Use the custom resume.cls style
\usepackage[left=0.4 in,top=0.4in,right=0.4 in,bottom=0.4in]{geometry} % Document margins
\usepackage{eurosym}
\usepackage[usenames, dvipsnames]{color}
% Item-less subsection
\newenvironment{rEmptySubsection}[4]{
%%%%%%%%%%%%%%%%%%%%%% Default Layout: %%%%%%%%%%%%%%%%%%%%%%%%
%% Employer (bold) Dates (regular) %%
%% Title (emphasis) Location (emphasis) %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf #1} \hfill { #2}% Stop a space
\ifthenelse{\equal{#3}{}}{}{
\\
{\em #3} \hfill {\em #4}% Stop a space
}
% empty
}{
}
\begin{document}
\begin{rSection}{Section1}
\begin{rSubsection}{Sub1}{}
{}{}
\item[] MyItem1
\item[] MyItem2
\end{rSubsection}
\begin{rEmptySubsection}{MyEmptySubsection}{}
{}{}
\end{rEmptySubsection}
\begin{rSubsection}{Sub2}{}
{}{}
\item[] MyItem1
\end{rSubsection}
\end{rSection}
\end{document}
In this way, you can customize the environment, and decide on spacing. You could even create a different kind of subsection altogether if you like. I hope this helps.
\documentclass{...}and ending with\end{document}instead of code snippets. This makes our lives easier and increases the chance of people helping you. And a link toresume.clsmight be helpful too: it is not a standard class and googling for it throws several different results. – campa May 18 '17 at 14:07rSubsectioncreates a new environment fromlist, I was hoping it wrappeditemizesince this could have applied. I'm not familiar withlistI'm afraid. – Carel May 18 '17 at 16:47