So I've created a method which returns the current visible string height (with the size of the UITextView / UITextField or UILabel) and it's also support iOS6+, this is what I did:
- (NSUInteger)fitString:(NSString *)string intoLabel:(UILabel *)label
{
    UIFont *font           = label.font;
    NSLineBreakMode mode   = label.lineBreakMode;
    CGFloat labelWidth     = label.frame.size.width;
    CGFloat labelHeight    = label.frame.size.height;
    CGSize  sizeConstraint = CGSizeMake(labelWidth, CGFLOAT_MAX);
    if (SYSTEM_VERSION_GREATER_THAN(iOS_7))
    {
        NSDictionary *attributes = @{ NSFontAttributeName : font };
        NSAttributedString *attributedText = [[NSAttributedString alloc] initWithString:string attributes:attributes];
        CGRect boundingRect = [attributedText boundingRectWithSize:sizeConstraint options:NSStringDrawingUsesLineFragmentOrigin context:nil];
        {
            if (boundingRect.size.height > labelHeight)
            {
                NSUInteger index = 0;
                NSUInteger prev;
                NSCharacterSet *characterSet = [NSCharacterSet whitespaceAndNewlineCharacterSet];
                do
                {
                    prev = index;
                    if (mode == NSLineBreakByCharWrapping)
                        index++;
                    else
                        index = [string rangeOfCharacterFromSet:characterSet options:0 range:NSMakeRange(index + 1, [string length] - index - 1)].location;
                }
                while (index != NSNotFound && index < [string length] && [[string substringToIndex:index] boundingRectWithSize:sizeConstraint options:NSStringDrawingUsesLineFragmentOrigin attributes:attributes context:nil].size.height <= labelHeight);
                return prev;
            }
        }
    }
    else
    {
        if ([string sizeWithFont:font constrainedToSize:sizeConstraint lineBreakMode:mode].height > labelHeight)
        {
            NSUInteger index = 0;
            NSUInteger prev;
            NSCharacterSet *characterSet = [NSCharacterSet whitespaceAndNewlineCharacterSet];
            do
            {
                prev = index;
                if (mode == NSLineBreakByCharWrapping)
                    index++;
                else
                    index = [string rangeOfCharacterFromSet:characterSet options:0 range:NSMakeRange(index + 1, [string length] - index - 1)].location;
            }
            while (index != NSNotFound && index < [string length] && [[string substringToIndex:index] sizeWithFont:font constrainedToSize:sizeConstraint lineBreakMode:mode].height <= labelHeight);
            return prev;
        }
    }
    return [string length];
}
Of course that SYSTEM_VERSION_GREATER_THAN(iOS_7) are both macros that I defined. You also should define your own.
Best of luck!