"native-base": "^2.3.7",
"react": "16.2.0",
"react-native": "0.52.0",
Icon should be on right side
Position of Icon always is on left side
<Item floatingLabel error={error && touched}>
<Label style={{top}}>{labelText}</Label>
<Input
ref={c => (this.textInput = c)}
secureTextEntry={input.name === "password" ? true : false}
{...input}
/>
<Icon name='close-circle' />
</Item>

checked only Android
<Item floatingLabel style={{ flexDirection: 'row-reverse' }}>
<Label>Password</Label>
<Input/>
<Icon name="close-circle" />
</Item>